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)