SOLUTION: Solve the Given Differential Equation by separation of variables. (dy)/(dx)=xsqrt(1-y^2) Answer: y=sin(x^2/2+c1) Please help me in providing step by step solution.

SOLUTION: Solve the Given Differential Equation by separation of variables. (dy)/(dx)=xsqrt(1-y^2) Answer: y=sin(x^2/2+c1) Please help me in providing step by step solution.

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Question 1143288: Solve the Given Differential Equation by separation of variables.
(dy)/(dx)=xsqrt(1-y^2)
Answer: y=sin(x^2/2+c1)
Please help me in providing step by step solution.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!



Multiply both sides by dx



Divide both sides by 





Use the formula: 





Take the sine of both sides:



Edwin

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