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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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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
Learn how to solve differential calculus problems step by step online.
$\frac{dy}{dx}=x^2e^{-x^3}e^y$
Learn how to solve differential calculus problems step by step online. Solve the differential equation dy/dx=x^2e^(-x^3+y). 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 . Solve the integral \int\frac{1}{e^y}dy and replace the result in the differential equation.