Solve the following differential equations: `(dy)/(dx)+2y=x e^(4x)`

Explanation

Given differential eqn is:-



`frac{d y}{d x}+2 y=x e^{4 x}`



`frac{d y}{d x}+P y=Q` where `P=` `2, Q=x e^{4 x}`


Integrating factor I.E. is given by



`=e^{int P d x}=e^{int 2 d x}=e^{2 x}`


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