Solve y''=−2x(y)

Wierzycaz 2020-12-05 Answered
Solve y=2x(y)
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Expert Answer

Khribechy
Answered 2020-12-06 Author has 100 answers

Given that y''=−2x(y)
y=2x(y)2>y/(y)2=2x>d(y)/(y)2=2x>(d(y)/(y)2)=2xc0

where c0 is a constant (1/y)=x2c01/y=x2+c0y=1/((x2)+c0)y=(1/(x2+c12+c2) 

where c0=c12 and c1 are constant y=1/c1tan1(x/c1)+c2

Hence the solution of the given Differential equations is y=1ctan1(xc)+c2

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