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百度试题 结果1 题目solve the differential equation.(dy)/(dx)=x^2y 相关知识点: 试题来源: 解析 y=Ce^(x^3/3) y 反馈 收藏
百度试题 结果1 题目Solve the differential equation:f''(x)=cos xf'(0)=2f(0)=4 相关知识点: 试题来源: 解析 f( x) =-cos +2x+5 反馈 收藏
1t=k(x+1)\ or\ 1(2-e^y)=k(x+1)Simplifying this equation, we gete^y=2-1(k(x+1))\ or\ y= log _e(2-1(k(x+1)))Since when x = 0, y = 0, therefore1=2-1kor k = 1Hence, y=f(x)= log _e(2-1(x+1))= log _e(2x+1)(x+1) 反馈 收藏 ...
Solve the differential equationdydx+y=e−x View Solution Solve the differential equationdydx=x2y+y View Solution Solve the differential equation.dydx−y=exHence find the particluar solution for x = 0 and y = 1 . View Solution Solve the differential equationdydx=e2x−y+x2⋅e−y. ...
百度试题 结果1 题目Solve the differential equation, giving y in terms of x, where x and y=1 at x=1. 相关知识点: 试题来源: 解析 y=-1/(3x^2)+(4x)/3 3r2 反馈 收藏
百度试题 结果1 题目Solve the differential equationy'=x+yby=ai ng the change of variable u = x + y. 相关知识点: 试题来源: 解析 y=Ke^x-x-1 反馈 收藏
百度试题 结果1 题目Solve the differential equation , given that y=1 when x=0 相关知识点: 试题来源: 解析 2y=(y+1)√ (1+x^2) 反馈 收藏
Given equation: xdy-ydx=√(x^2+y^2) dxOn - rearranging the term,we get, x(dy)(dx)-y=√(x^2+y^2)(dy)(dx)-=√(1+(y^2)(x^2))(dy)(dx)= +√(1+(y^2)(x^2))Now,this is a homogenous differential equation of order 1.Let y=vx and(dy)(dx)=v+x(dy)(dx)Therefore...
solve the differential equation(y+x)dydx=y−x View Solution Solve the differential equationxdydx+y=1+x View Solution Solve the differential equation(x2−y)dy+(y2+x2y2)dx=0,given thaty=1,whenx=1. View Solution Find the particular solution of the differential equationxdydx−y=(x+1...