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Question

# Find the general solution to the exact differential equation. dy/dx = sin x - eˉ˟ + 8x³

Solutions

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$\dfrac{dy}{dx}=\sin x-e^{-x}+8x^3$

Rewrite the equation in the differential form as shown below:

$dy=\sin x-e^{-x}+8x^3\hspace{1mm}dx$

Integrate both sides

$\int dy=\int \sin x-e^{-x}+8x^3\hspace{1mm}dx$

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