一阶微分方程y'=e的2x-y次方的通解.x2+1)(y2-1)dx+xydy=0 ydy/(y^2-1)=-(x+1/x)dx 两边积分 (1/2)ln|y^2-1|=-x^2/2-ln|x|+C1
https://www.ouer.net/chuzhongshuxue/v27c.html - 2022-10-30 01:51:42 - 中学数学试题解微分方程y''+9y=cosx+2x+1.y''+9y=0的特征方程为;λ²+9=0.所以;λ=±3i,得通解为:y=C1sin(3x)+C2cos(3x),(C1,C2为任意常数)设y''
https://www.ouer.net/chuzhongshuxue/v278.html - 2022-10-30 02:00:05 - 中学数学试题求微分方程(xy^2-x)dx+(x^2y+y)dy=0的通解.
https://www.ouer.net/chuzhongshuxue/w8s.html - 2022-02-07 07:09:07 - 中学数学试题大一高数考题 每题100分 求微分方程 y’+ 2xy = 2x 的通解.dy/dx=2x-2xy所以dy=2x(1-y)dx所以y=(1-y)x^2+c 其中C为任意常数
https://www.ouer.net/chuzhongshuxue/d75u.html - 2022-09-01 06:49:26 - 中学数学试题急,求微分方程xy'+y=e^x在初始条件y(1)=e下的特解.xy'+y=e^x(xy)'=e^xd(xy)/dx=e^x∫d(xy)=∫e^xdxxy=e^x+cy(1)=e ==> e=e+c =
https://www.ouer.net/chuzhongshuxue/wzfh.html - 2022-11-02 16:07:55 - 中学数学试题求微分方程y''-4y'+5y=0的通解 ).这是二阶常系数线性方程特征方程为r^2-4r+5=0 根为:r=2±i通解为:y=e^(2x)(C1cosx+C2sinx)
https://www.ouer.net/chuzhongshuxue/vm4c.html - 2022-11-01 23:32:40 - 中学数学试题问道高数题3(有关微分中值定理)设b不等于a,证|arctanb-arctana|小于等于|b-a|.设b>a,则原命题为证arctanb-arctana≤b-af(x)=arctanx在[a,b]连续
https://www.ouer.net/zati/k10h.html - 2022-07-23 02:17:12 - 中学考试杂题求微分方程(x^2+1)y''-2xy'+2y=0的通解.先忽略2次导数, 只考虑-2xy'+2y=0,解为线性函数.
https://www.ouer.net/chuzhongshuxue/v274.html - 2022-10-30 01:58:05 - 中学数学试题若z = sin ( xy ) 则它的全微分dz =A:xcos (xy) B:(xdx+ydy) cos (xy) C:ycos (xy) D:(ydx+xdy) cos (xy).
https://www.ouer.net/chuzhongshuxue/xxrx.html - 2022-11-13 09:40:15 - 中学数学试题求微分方程y"+3y+2y=e的x次方的通解.题目应该是y"+3y'+2y=e^x吧?
https://www.ouer.net/chuzhongshuxue/vufh.html - 2022-10-28 07:01:38 - 中学数学试题求微分方程:dy/dx-2y/(x+1)=(x+1)^3的通解.一阶线性方程组先解dy/dx=2y/(x+1)得dy/y=2dx/(x+1)y=c(x+1)^2设c(x)是原方程的解,代入原方程得c'(
https://www.ouer.net/chuzhongshuxue/f1x.html - 2022-01-30 00:56:03 - 中学数学试题求微分方程(1+x^2)y'-2xy=(1+x^2)^2满足y(0)=0的特解需要详细算式.
https://www.ouer.net/chuzhongshuxue/u101.html - 2022-10-22 05:38:45 - 中学数学试题求微分方程 (xy∧2+x)dx+(y-x∧2y)dx=0的通解.
https://www.ouer.net/chuzhongshuxue/bv3a.html - 2022-09-14 07:22:29 - 中学数学试题求微分方程xy''-2y'=x^3+x的通解.y''-2/x*y'=x^2+x因为(ye^f(x))'=e^f(x)*(y'+yf'(x))所以考虑∫-2/xdx=-2ln|x|+C,e^(-2ln|x
https://www.ouer.net/chuzhongshuxue/z84d.html - 2022-05-11 01:34:13 - 中学数学试题∫f’(2x)dx=_______②.微分方程dy/dx=y/x的通解为_______(/为分之...).
https://www.ouer.net/chuzhongshuxue/s4wz.html - 2022-10-15 14:20:05 - 中学数学试题求微分方程y''-6y'+9y=0的通解.y''-6y'+9y=0特征方程 r^2 - 6r +9=0 解得r1,2 = 3所以通解 y = (C1 + C2 x ) e^(3x)
https://www.ouer.net/chuzhongshuxue/fe64.html - 2022-09-25 04:58:51 - 中学数学试题有数学微分方程类问题着急询问...dy/dx-ytanx=cosx..麦克劳林级数展开到x^2的话会是怎么样,假如y等于负二分之π,x等于0的话?
https://www.ouer.net/chuzhongshuxue/x8x7.html - 2022-11-15 23:32:20 - 中学数学试题求下列微分方程满足所给初始条件的特解xdy+2ydx=0,y丨x=2 =1.dy/y=-2dx/xlny=-2lnx+lnCy=C*x^-2代入1=C/4得C=4即x^2*y=4
https://www.ouer.net/chuzhongshuxue/xw1w.html - 2022-11-13 04:53:06 - 中学数学试题用微分去找最大绝对值和最小绝对值f(t)=e^t^(3-t) for -1.2.e^x 是一个单调函数 所以只要考虑t^(3-t)对于这个函数应该是隐式求导 所以选择先两边取Ln再对两边求导即可!
https://www.ouer.net/chuzhongshuxue/sf8w.html - 2022-10-12 09:40:47 - 中学数学试题大学高数求解微分方程y'=xy+x+y+1的通解怎么求啊.分离:dy/dx=(x+1)(y+1)∫1/(y+1) dy=∫ (x+1) dxln(y+1)=1/2*x^2+x+cy+1=C*e^(1/2
https://www.ouer.net/chuzhongshuxue/bv28.html - 2022-09-14 07:20:29 - 中学数学试题求微分方程y''-2y'+y=e^x的通解.首先其次解y''-2y'+y=0的解为y=(Cx+D)*e^x下面求一个特解即y''-2y'+y=e^x -----(1) 令y=z*e^x代入(1)
https://www.ouer.net/chuzhongshuxue/v27f.html - 2022-10-30 01:51:05 - 中学数学试题求微分方程的特解 y"-5y'+6y=4e^x.虽然jinzi9 只是问道特解,我还是从通解开始:齐次方程的通解:λ² - 5λ + 6 = 0 ①λ1 = 2,λ2 = 3所以,通解为:y
https://www.ouer.net/chuzhongshuxue/07e2.html - 2022-11-23 07:13:37 - 中学数学试题y''-y'=x-1 求微分方程通解.特征方程为t^2-t=0,得t=0,1齐次方程通解为y1=C1+C2e^x设特解为y*=x(ax+b)=ax^2+bxy*'=2ax+by*"=2a代入原方程:2a
https://www.ouer.net/chuzhongshuxue/u10f.html - 2022-10-22 05:34:08 - 中学数学试题求微分方程y‘’-2y'+y=sinx+x(e^x)的通解RT.
https://www.ouer.net/chuzhongshuxue/cbv9.html - 2022-09-27 06:59:32 - 中学数学试题求齐次微分方程(y2-3x2)dy+2xydx=0的通解.
https://www.ouer.net/chuzhongshuxue/r46n.html - 2022-10-08 07:25:40 - 中学数学试题求微分方程的通解dy/dx-2y/(x+1)=(x+1)^5/2.对应的齐次方程为dy/dx-2y/(x+1)=0dy/y=2dx/(x+1)ln|y|=2ln|x+1|+ln|C1|y=C1(x+1)
https://www.ouer.net/zati/ka3.html - 2022-01-25 07:13:21 - 中学考试杂题用对数微分法求函数的导数.y=x的x次方的平方y=x的x次方²。.
https://www.ouer.net/chuzhongshuxue/b5kf.html - 2022-09-16 08:07:24 - 中学数学试题求微分方程xy'+y-e^x=0满足初始条件y(1)=e的特解?.
https://www.ouer.net/chuzhongshuxue/vks1.html - 2022-10-26 09:55:58 - 中学数学试题使用mathematica解常微分方程~y'=1/x^2 - y/xy(1)=1请给出mathematica语句以及解出的结果,.DSolve[{y'[x] == 1/x^2 - y[x]/x,y[1]
https://www.ouer.net/chuzhongshuxue/xzz8.html - 2022-11-10 01:56:55 - 中学数学试题微分几何证明题向量函数r(t)具有固定方向的充要条件是r×r'=0..
https://www.ouer.net/shuxue/z2wc.html - 2021-03-25 22:51:04 - 数学作业答案y''-3y'-4y=5 微分方程求通解 T^T.y'' - 3y' - 4y = 5r^2 - 3r - 4 = 0(r - 4)(r + 1) = 0r = - 1 或 r = 4y' = Ae^(
https://www.ouer.net/chuzhongshuxue/xm8h.html - 2022-11-16 21:06:14 - 中学数学试题求微分方程xy'-y-√y^2-x^2=0的通解 √是根号 ^2是平方.
https://www.ouer.net/chuzhongshuxue/bv3s.html - 2022-09-14 07:27:43 - 中学数学试题求解微分方程①(1+x平方)dy-ydy=0②y"+y'-6y=0.①(1+x^2)dy-ydx=0 1/ydy=1/(1+x^2)dxLny=arctan(x)+C1y=C*exp(arctan(x)
https://www.ouer.net/chuzhongshuxue/05sh.html - 2022-11-22 13:27:27 - 中学数学试题求微分方程通解yy''=(y')^2-(y')^3.这样,我提供一个思路.这里可以认为y'=dy/dx.令p=y'=dy/dx,则y''=dy'/dx=dp/dx=dp/dy * dy/dx=p dp/
https://www.ouer.net/chuzhongshuxue/1k7f.html - 2022-11-25 18:05:36 - 中学数学试题求微分方程(2x+1)y〃+4xy′-4y=[(2x+1)^2](e^x)的通解.1/9*exp(x)*(6*x+1)+C1*x+C2*exp(-2*x),exp(x)就是e^x.
https://www.ouer.net/chuzhongshuxue/xff0.html - 2022-11-11 11:38:11 - 中学数学试题用凑微分法解答tan(x+3)/cos^2(x+3) dxtan(x+3)/[cos(x+3)]^2 dx.
https://www.ouer.net/chuzhongshuxue/xuxm.html - 2022-11-12 15:27:13 - 中学数学试题求微分方程(x+1)y'-2y=(x+1)^5的通解.
https://www.ouer.net/chuzhongshuxue/xx4w.html - 2022-11-13 12:04:53 - 中学数学试题求解微分方程dy/dx+y=x满足初始条件y/x=0=2的初解.特征根为-1,则y'+y=0的解为y1=ce^(-x)设特解为y*=ax+b,代入原方程得:a+ax+b=x对比系数得;a=1,a+b=0
https://www.ouer.net/chuzhongshuxue/rzww.html - 2022-10-03 15:00:32 - 中学数学试题简谐运动图像推理过程,及解微分方程.有关简谐运动特征及表式:1F=-kx(回复力) 2 d^2x/dt^2=-(k/m)x 取k/m=w^2 所以d^2x/dt^2=-(w^2)x d^2x/dt^2+
https://www.ouer.net/chuzhongwuli/n5f5.html - 2022-03-31 10:40:19 - 中学物理试题(1/2)高数微分方程,dy/dx=(ax+by+c)/(a1x+b1y+c1)可化为齐次方程,在用x=X+h,y=Y+k替换后为什么...(1/2)高数微分方程,dy/dx=(ax+by+c)/(a1x
https://www.ouer.net/chuzhongshuxue/wr5s.html - 2022-11-04 17:58:08 - 中学数学试题求微分方程(dy/dx)-y/x=3x满足初始条件y|(x=1)=4的特解.xy'-y=3x^2(xy'-y)/x^2=3(y/x)'=3两边积分:y/x=3x+C令x=1:4=3+C,C=1所以y=3x
https://www.ouer.net/chuzhongshuxue/b7z.html - 2022-01-28 23:46:08 - 中学数学试题一阶线性微分方程y'+P(x)y=Q(x)的通解公式是什么?.
https://www.ouer.net/chuzhongshuxue/c8kx.html - 2022-10-01 20:39:06 - 中学数学试题微分方程y''-4y'+5y=0,y(0)=1,y'(0)=3的特解是什么.答:y''-4y'+5y=0特征方程a^2-4a+5=0(a-2)^2=-1a-2=±ia=2±i复数解实部α=2,虚部β=1
https://www.ouer.net/chuzhongshuxue/w4v0.html - 2022-11-07 09:10:04 - 中学数学试题求齐次微分方程的通解:2xydx+(y的平方-3x的平方)dy=o.此题是能算的,先说!
https://www.ouer.net/chuzhongshuxue/k9n4.html - 2022-07-29 05:20:05 - 中学数学试题y=arctan(1-x^2)/(1+x^2)的微分貌似很复杂.-2x/(1+X^4)dx.dy/dx=[arctan(1-x^2)/(1+x^2)]'=1/{1+[(1-x^2)/(1+x^2)]^2
https://www.ouer.net/chuzhongshuxue/r5b6.html - 2022-10-08 10:29:40 - 中学数学试题大学数学微分方程:(1-x^2)y'+xy=1,y(0)=1,求其特解.速求,急等!.
https://www.ouer.net/chuzhongshuxue/vuu3.html - 2022-10-28 08:06:01 - 中学数学试题求微分方程的通解 dy/dx=e^(2x+y) [1/2(e^2x)]+e^y=c.dy/dx=e^(2x+y)即 dy/dx=e^(2x) *e^y分离变量得 e^(-y)dy=e^(2x)dx两边积分得到
https://www.ouer.net/chuzhongshuxue/xux8.html - 2022-11-12 15:25:50 - 中学数学试题求一阶微分方程y'=(y√y)/(2x√y-x^2)的通解.y'=(y√y)/(2x√y-x^2)x'=(2x√y-x^2)/y√y令1/x=u,代入得:u'=(-1/y)u+(1/y√y)通解为:u=
https://www.ouer.net/chuzhongshuxue/0bm3.html - 2022-11-18 21:30:42 - 中学数学试题微分方程y''-5y'+6y=0的特解是.解r^2-5r+6=0得出r=2和3则,y的通解为y=Ae^(2x)+Be^(3x),A,B可取任意值.特解的话,要联系更多条件才知道了,你这么个式子只能出个通解
https://www.ouer.net/chuzhongshuxue/07e3.html - 2022-11-23 07:14:14 - 中学数学试题求下列微分方程通解 (1+e^x/y)dx+e^x/y(1-x/y)dy=0.x/y=u x=yu x‘=u+yu' 代入:u+yu'=[e^u(u-1)]/(1+e^u)yu'=[e^u(u-1)]/
https://www.ouer.net/chuzhongshuxue/f2a.html - 2022-01-30 01:28:12 - 中学数学试题