Solve the following differential equations :

Here,



It is homogeneous equation


Put y = vx


And


So,






Integrating both sides we get,




…… (A)




Comparing the coefficient of like power of v


– A + C = 1 ……(i)


2A – B = 0


B = 2A ……(ii)


2B + 4C = 1 …… (iii)


Solving eq. (i),(ii) and (iii),


A = – 3/8,B = – 3/4, C = 5/8


Using eq.(A)









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