Question
Solve the given differential equation by separation of variables.$\frac{d y}{d x}=e^{3 x+2 y}$
Step 1
To do this, we can divide both sides by $e^{2y}$ and multiply both sides by $dx$: $\frac{1}{e^{2y}} \frac{dy}{dx} = e^{3x}$ Now, multiply both sides by $dx$: $\frac{1}{e^{2y}} dy = e^{3x} dx$ Show more…
Show all steps
Your feedback will help us improve your experience
Edward Downes and 51 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the given differential equation by separation of variables. $$ \frac{d y}{d x}=\frac{y^{3}}{x^{2}} $$
First-Order Differential Equations
Separable Variables
Solve the given differential equation by separation of variables. $\frac{d y}{d x}=\frac{y^{3}}{x^{2}}$
Separable Equations
Solve the given differential equation by separation of variables. $$d x+e^{3 x} d y=0$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD