Final answer to the problem
$y=\frac{\ln\left(\frac{3}{-2\left(e^{3x}+C_1\right)}\right)}{2}$
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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
Divide both sides of the equation by $dx$
$\frac{dy}{dx}=e^{\left(3x+2y\right)}\frac{dx}{dx}$
Learn how to solve problems step by step online.
$\frac{dy}{dx}=e^{\left(3x+2y\right)}\frac{dx}{dx}$
Learn how to solve problems step by step online. Solve the differential equation dy=e^(3x+2y)dx. Divide both sides of the equation by dx. Simplify the fraction \frac{dx}{dx} by dx. Any expression multiplied by 1 is equal to itself. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n.
Final answer to the problem
$y=\frac{\ln\left(\frac{3}{-2\left(e^{3x}+C_1\right)}\right)}{2}$
