Solve the initial value problems:
1/θ(dy/dθ) = ysinθ/(y^2 + 1); subject to y(pi) = 1

Using separation of variables, it is found that the solution of the initial value problem is:

The differential equation is given by:

Applying separation of variables, we have that:

The first integral is solved applying the properties, as follows:

The second integral is solved using integration by parts, as follows:

Then:

Then:

means that when , which is used to find K.

Then, the solution is:

To learn more about separation of variables, you can take a look at link

Step-by-step explanation:

Given the initial value problem subject to y(π) = 1. To solve this we will use the variable separable method.

Step 1: Separate the variables;

The solution to the initial value problem will be;

can you add an image ?

step-by-step explanation:

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.