SOLUTION: Retransmitted Question: Find the definite solution of the following differential equation xy'= y^2, if y(1) = -1. Thank-you in advance.

Algebra.Com
Question 398081: Retransmitted Question:
Find the definite solution of the following differential equation xy'= y^2, if y(1) = -1.
Thank-you in advance.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
<==> <==>
==> , after integration, for an arbitrary constant k.
If x = 1, the y = -1: ==> ==> k = 1.
==> the equation is , or
==> ==> .

RELATED QUESTIONS

Question: Find the definite solution of the following differential equation xy= y^2, if... (answered by robertb)
Find a particular solution of the differential equation: ((x^2)-4x-5)*(y')=(6), y(2)=0... (answered by Fombitz)
Solve the following differential equation: (1−(2/y)+x)(dy/dx)+y=(2/x)−1. My... (answered by robertb)
Solve the differential equation 1/y^2 y' =2x Find the special solution which satisfies... (answered by Fombitz)
This is for differential equations, topic is about separation of variables. Find the... (answered by Solver92311)
find the solution of the following differential equations: 1. dy/dx= te^y, y(1)=0... (answered by Fombitz)
Let y be the solution of the differential equation {{{ xdy/dx = y^2/(1-logx) }}}... (answered by robertb)
Please help me solve this equation. Evaluate the following definite integral: {{{ int(... (answered by jsmallt9)
The equation of catenary is given by the following second order differential equation: (answered by ikleyn)