Final answer to the problem
$5y+\frac{1}{2}x^2-2y^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
Find the integral
Learn how to solve integrals of polynomial functions problems step by step online.
$\int\left(5+x\right)dy+\int-4ydx$
Learn how to solve integrals of polynomial functions problems step by step online. Find the antiderivative of (5+x)dy-4ydx. Find the integral. Expand the integral \int\left(5+x\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5dy results in: 5y. The integral \int xdy results in: \frac{1}{2}x^2.
Final answer to the problem
$5y+\frac{1}{2}x^2-2y^2+C_0$
