Final answer to the problem
$x=-2t+\frac{-4}{e^t}+C_0$
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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 differential equations problems step by step online.
$\frac{dx}{dt}=-2+4e^{-t}$
Learn how to solve differential equations problems step by step online. Solve the differential equation x^'=-2+4e^(-t). Rewrite the differential equation using Leibniz notation. Group the terms of the differential equation. Move the terms of the x variable to the left side, and the terms of the t variable to the right side of the equality. Simplify the expression \left(-2+4e^{-t}\right)dt. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
Final answer to the problem
$x=-2t+\frac{-4}{e^t}+C_0$
