Solve y''+2y' - 3y = 0, y(0) = 3, y'(0) = 11 preview y(t) = |2e^(-3t)+5e^t points possible: 1 this is attempt 3 of 3 score on last attempt: 0. score in gradebook: 0 license submit

Second order linear homogeneous differential equation with constant coefficients, ODE has a form of,

From here we assume that for any equation of that form has a solution of the form,

Now the equation looks like this,

Now simplify to,

You can solve the simplified equation using quadratic equation since,

Using the QE we result with,

So,

For two real roots the general solution takes the form of,

Or simply,

Hope this helps.

r3t40

i believe the answer is d.

hope it you! : d