APFIVE Solving a Separable Differential Equation
What is the solution to the differential equation $$\displaystyle \frac{dy}{dx} = 5y^2$$ satisfying the initial condition $$y(0) = 3$$?
A
$$y = \sqrt{9e^{5x}}$$
B
$$y = \sqrt{\displaystyle \frac{1}{9}e^{5x}}$$
C
$$y = \sqrt{e^{5x} + 9}$$
D
$$y = \displaystyle \frac{3}{1-15x}$$
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | p250001155 | 2 | 2 | 0m 00s | 200 |
| #2 | haneesh19.12 | 0 | 2 | 0m 00s | -20 |
| #3 | npgiahy151108 | 0 | 1 | 9m 31s | -581 |
Items per page:
10
1 – 3 of 3