Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =

For the ODE

multiply both sides by t so that the left side can be condensed into the derivative of a product:

Integrate both sides with respect to t :

Divide both sides by to solve for y :

Now use the initial condition to solve for C :

So the particular solution to the IVP is

or

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.