Question

Find the particular solution of the differential equation )x^2dy)/(y^2-3dx)=(1/2y) satisfying the initial condition y(1)=(4)^(1/2)

Answer 1

\[\frac{x^2 dy}{y^2-3 dx}=\frac{1}{2y}\]

this one?

Answer 2

yes

Answer 3

\[(x^2 2y )dy-(y^2-3 dx)=0 \]

Nx= 4 xy

My= 2y

so obviously not exact

Answer 4

ok

Answer 5

then

Answer 6

?

Answer 7

You may have to use special integration factor,

Answer 8

like what?

Answer 9

ok nevermind can u help with this one Solve the separable differential equation for u : du/dt =e^(6u+6t) use the following initial condition u(0)=10