Help with Differential Equation Problem!!!!! 1. The problem statement, all variables and given/known data The problem is shown as: Consider the differential equation dy/dt = (y)^(1/4), y>=0. (a) Find all points in the (t,y) plane through which at least one solution passes. Give reasons for your answer. (b) Prove that there is a unique solution to the differential equation that satisfies y(0) = 3. Note that you should not try to find the solution to answer this part of the question (c) Find 2 solutions to the IVP consisting of the differential equation above with the initial condition y(1)=0. 2. Relevant equations 3. The attempt at a solution I have only got this solution and have no idea about what to do with part (a) and (b) of this question. dy/dt = (y)^(1/4) (y)^(-1/4) dy/dt = 1 (y)^(-1/4) dy = 1 dt int (y)^(-1/4) dy = int 1 dt (4/3)(y)^(3/4) = t + C (y)^(3/4) = (3/4)t + C y = [ (3/4)t + C ]^(4/3) Using the intial condition y(1) = 0 I got the c value as -(3/4). So I've only got one solution to this prob in the form y = [(3/4)t - (3/4)]^(4/3) and I can't find anything similar to part (a) and (b) anywhere in the text. HELP PLEASE!!!!