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- Exact Differential Equation
- Linear Differential Equation
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- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the differential equation using Leibniz notation
Learn how to solve differential equations problems step by step online.
$t^{10}\frac{dy}{dt}=\frac{6t^{12}+t^9}{3y^2}$
Learn how to solve differential equations problems step by step online. Solve the differential equation t^10y^'=(6t^12+t^9)/(3y^2). Rewrite the differential equation using Leibniz notation. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the t variable to the right side of the equality. Simplify the expression \frac{1}{t^{10}}\left(6t^{12}+t^9\right)dt. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to t.