Question

Solve the differential equation dy/dx = xy where y=10 when x=0. Give your answer in the form y=f(X).

Answer 1

\[\frac{1}{y} dy= x dx\]

Answer 2

integrate both sides

Answer 3

\[\ln(y)=\frac{x^2}{2}+C\]

Answer 4

\[y=e^{\frac{x^2}{2}+C}\]

Answer 5

you can do the rest right?