Q. 185.0( 1 Vote )

Solve the followi

Answer :

Given,




…(1)


We can observe that the above differential equation is a homogeneous equation.


We can verify this by putting y = λx.


To solve a homogeneous differential equation, we put y = vx



So equation 1 can be rewritten as -






Integrating both sides we get –



Use the formula:





v = y/x



Cx2 = y + √(y2+x2) is the required solution for given differential equation.


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