# Solve a Differential Equation

8. What is the solution of the differential equation dy/dt = 4y2t3, subject to the condition y(1) = 1?

A. y = 1/(2-t4) B. y = 2 - 1/t4 C. y = t4

D. y = 1/t4 E. y = e^(1-t2)

https://brainmass.com/math/calculus-and-analysis/solve-differential-equation-33147

#### Solution Preview

The answer is A.

since dy/dt=4y^2*t^3, then we get

dy/y^2=4t^3dt.

We make ...

#### Solution Summary

A Differential Equation is solved.

$2.19