Consider the differential equation
\dfrac{dy}{dx}=4\sqrt{y}e^{2x}
Solve for the particular solution y=f(x) to the given differential equation, with the initial condition f(0)=0.99. Then find and report, to two places after the decimal, f(1).

[Remember: Do not round intermediate values. Specifically, never copy numbers down from the calculator and retype it into the calculator. If you're going to need a value for later, then store it.]

Question

Consider the differential equation 
\dfrac{dy}{dx}=4\sqrt{y}e^{2x} 
Solve for the particular solution y=f(x) to the given differential equation, with the initial condition f(0)=0.99. Then find and report, to two places after the decimal, f(1).

[Remember: Do not round intermediate values. Specifically, never copy numbers down from the calculator and retype it into the calculator. If you're going to need a value for later, then store it.]

anonymous · Answer

This looks separable. You can move all the y's and dy's to one side and all the x's and dx's to the other. You'd get h(y)dy = g(x)dx.
Integrate both sides.

anonymous · Answer

.thank you,