Question

A bernoulli differential equation is one of the form dxdy+p(x)y=q(x)yn observe that, if n=0 or 1, the bernoulli equation is linear. for other values of n, the substitution u=y1−n transforms the bernoulli equation into the linear equation dxdu+(1−n)p(x)u=(1−n)q(x) use an appropriate substitution to solve the equation y'−x8y=y3x14, and find the solution that satisfies y(1)=1

Answer 1

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