Separation of Variables Initial Value Problem

Mark

Which of the following is the solution to the differential equation $\frac{dy}{dx} = ye^x$ with the initial condition $y(0) = 3$ ?

$y = 3e^{\frac{x^2}{2}}$

$y = 3e^{e^x - 1}$

$y = 3\ln(e^x) + 3$

$y = 3e^x + 3$

Hint

Did You Know?

Explain Why

Explain All Answers

Check Answer

Show Correct Answer

Report Question

Question Leaderboard

Not enough data yet to show leaderboard.

AI Tutor 1:23 AM

How can I help?