Find the solution (in explicit form) for the following initial value problem:    y 0 = xy3 (1 + x 2 ) − 1 2 y(0) = 1.

Complete Question

The  complete question is shown on the first uploaded image

The solution is      

Step-by-step explanation:

From the question we are told that

  The  function is  

Generally the above  equation can be represented as

=>    

From the question we are told that at y(0) =  1

So

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

6 on both sides and twelve on the top and the bottom

step-by-step explanation: