Final answer to the problem
$y=\frac{1}{5}$
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Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Rewrite the differential equation using Leibniz notation
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{dy}{dx}-5y^2+y=0$
Learn how to solve integrals by partial fraction expansion problems step by step online. Solve the differential equation y^'-5y^2y=0. Rewrite the differential equation using Leibniz notation. We need to isolate the dependent variable y, we can do that by simultaneously subtracting -5y^2+y from both sides of the equation. 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{1}{-\left(-5y^2+y\right)}dy.
Final answer to the problem
$y=\frac{1}{5}$
