Final answer to the problem
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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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 separable differential equations problems step by step online.
$\frac{dy}{dx}=3e^xe^{-y}$
Learn how to solve separable differential equations problems step by step online. Solve the differential equation dy/dx=3e^(x-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. Simplify the expression \frac{1}{e^{-y}}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
