SOLUTION: Solve the initial value problem and leave the solution in implicit form. y'(x)√y+9=√x-2, y(11)=-5 Thanks

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Question 1070848: Solve the initial value problem and leave the solution in implicit form.
y'(x)√y+9=√x-2, y(11)=-5



Thanks
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Separate the variables,
dy%2Fsqrt%28y%2B9%29=sqrt%28x-2%29dx
Integrate,
2sqrt%28y%2B9%29=%282%2F3%29%28x-2%29%5E%283%2F2%29%2BC
Using the given value,
2sqrt%28-5%2B9%29=%282%2F3%29%2811-2%29%5E%283%2F2%29%2BC
2sqrt%284%29=%282%2F3%29%289%29%5E%283%2F2%29%2BC
2%2A2=%282%2F3%2927%2BC
4=18%2BC
C=-14
.
.
.
highlight%282sqrt%28y%2B9%29=%282%2F3%29%28x-2%29%5E%283%2F2%29-14%29