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Question: How do I solve an ODE with initial value condition?

Question:How do I solve an ODE with initial value condition?

sharon11 0
ode
January 22 2017
0

the question is 

ODE5:= y(x)*diff(y(x),x,x) + (diff(y(x),x)^2=0

dsolve({ODE5,y(0)=4,D(y)(0)=7},y(x))

and my answer appears to be an integration! which is wrong

the correct answer : 2*(4+14*x)^(1/2)

Could someone tell me what did I do wrong? And how could I get to this result?

Thanks a lot!

 
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