Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Linear Differential Equation
- Exact 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
- Integrate using tabular integration
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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
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 $\int\frac{1}{e^{2y}}dy$ and replace the result in the differential equation
Solve the integral $\int e^{3x}dx$ and replace the result in the differential equation
Find the explicit solution to the differential equation. We need to isolate the variable $y$