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d x d t = − 2 + 2 t − C e − t. and add x ( t) to both sides. d x d t + x ( t) = − 2 + 2 t − C e − t + ( 2 − 2 t + t 2 + C e − t) = t 2. The solution does satisfy equation (1). Since multiplying the ODE by the
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Here we have Integrating Factor (I.F) = e∫P.dx e ∫ P. d x. Also the general solution of the differential equation dx/y +Px = Q is as follows. x.(I.F) = ∫(Q.( I.F).dy) +C x. ( I. F) = ∫ ( Q. ( I. F). d
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has an integrating factor of the form μ ( x,y) = x a y b for some positive integers a and b, find the general solution of the equation. Since there exist positive integers a and b such that x a y b is
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