(y 2 - x 2 )dy = 3xydx
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2dy²-2xdy=Answer =xy
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(y2-x2)dy = 3xydx
dy/dx = 3xy / y2-x2 _______________1
since it is non homogenous
Let y = vx
diff. w r to. x dy/dx = v + x * dv/dx
now equ 1 becomes
v + x*dV/dx = 3vx^2 / x^2 (V^2 - 1)
on solving
v^2 -1 dx
____ dv = _____
v(4-v) x
Integrate on both you will get the solution.
dy/dx = 3xy / y2-x2 _______________1
since it is non homogenous
Let y = vx
diff. w r to. x dy/dx = v + x * dv/dx
now equ 1 becomes
v + x*dV/dx = 3vx^2 / x^2 (V^2 - 1)
on solving
v^2 -1 dx
____ dv = _____
v(4-v) x
Integrate on both you will get the solution.
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