Final Answer
$y=\frac{x^{3}}{3}-5x+C_0$
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Step-by-step Solution
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1
We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $4x$ from both sides of the equation
$\frac{x\cdot dy}{dx}=x^3-x-4x$
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$\frac{x\cdot dy}{dx}=x^3-x-4x$
Learn how to solve differential equations problems step by step online. Solve the differential equation (xdy)/dx+4x=x^3-x. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 4x from both sides of the equation. Combining like terms -x and -4x. 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. Simplify the expression \frac{x^3-5x}{x}dx.
Final Answer
$y=\frac{x^{3}}{3}-5x+C_0$