Differential Equations

Ques1) Find the solution of
dy/ dx = (x+y) 2 (x+2) (y-2)

Ques2) Find the solution of

dy/dx = (x-1) 2 + (y-2) 2 tan -1 ( y-2x-1)(xy - 2x - y+2) tan -1 (y-2x-1)

3 Answers

39
Pritish Chakraborty ·

Q2

106
Asish Mahapatra ·

Q1. Let x+2 = X and y-2 = Y

Then dY/dX = (X+Y)2/XY

This is now homogenous

So, put Y=MX and solve further

11
Tush Watts ·

kk Thanx Pritish and Asish [1]

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