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$5\left(\frac{dy}{dx}\right)=e^{\left(y-8x\right)}$
Learn how to solve differential equations problems step by step online. Solve the differential equation 5dy/dx=e^(y+1*-8x). Simplifying. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to .