Given the differential equation (ax+b)2d2y/dx2+(ax+b)dy/dx+y=Q(x) show that the equations ax+b=et and t=ln(ax+b) reduces this equation to...

Given the differential equation (ax+b)²d²y/dx²+(ax+b)dy/dx+y=Q(x) show that the equations ax+b=e^t and t=ln(ax+b) reduces this equation to a linear equation with constant coefficients hence solve

(1+x)²d²y/dx²+(1+x)dy /dx+ y=(2x+3)(2x+4)

Expert Solution

Colby Messinger answered 2 years ago

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