Initial Value Problems

When a differential equation is given along with a x value that correlates with a y value for that question, you can solve what the constant "c" is equal to. Examples are provided below.

Steps:
1. Solve the differential equation how you normally would (refer to this page if you need help with solving the differential equation)
2. Plug in the x and y values into the solved differential equation to evaluate for the "c" constant
3. Once you have found the "c" constant, plug it into the original solved differential equation from step 1

Question 1: \[dy/dx = {5x \over 3y^2 + 2}, y(1) = 0\]

Question 2: \[dy/dx = (y+10)(x-12), y(3) = 1\]

Question 3: \[(1-x^2)^{1/2}(dy/dx) = 7xy, y(0) = 6\]