Final answer to the problem
$\frac{2^{3y}}{3\ln\left|2\right|}=\frac{2^{2x}}{2\ln\left|2\right|}+C_0$
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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.
$\frac{dy}{dx}=2^{\left(2x-3y\right)}$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^'=2^(2x-3y). Rewrite the differential equation using Leibniz notation. 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}{2^{-3y}}dy.
Final answer to the problem
$\frac{2^{3y}}{3\ln\left|2\right|}=\frac{2^{2x}}{2\ln\left|2\right|}+C_0$
