SOLUTION: Please help me solve this problem . Consider the differential equation t^2(dy/dt)=√y . A)Find the general solution to the differential equation . B)Find the solution wit

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Question 1072718: Please help me solve this problem .
Consider the differential equation t^2(dy/dt)=√y .
A)Find the general solution to the differential equation .
B)Find the solution with the initial-value y(1)=0
C)Find the solution with the initial-value y(1)=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is separable.
dy%2Fsqrt%28y%29=dt%2Ft%5E2
Integrating both sides,
2sqrt%28y%29=-1%2Ft%2BC
.
.
.
So when t=1
2sqrt%280%29=-1%2F1%2BC
C-1=0
C=1
2sqrt%28y%29=-1%2Ft%2B1
.
.
.
So when t=1
2sqrt%281%29=-1%2F1%2BC
C-1=2
C=3
2sqrt%28y%29=-1%2Ft%2B3