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Verify that the given function (explicit or implicit) isa solution of the correseponding differential equation : y = sqrt(1 + x^2): y' = (xy)/(1 + x^2) |
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Answer» SOLUTION :`y = sqrt(1 + x^2)` `y.= 1/(2 sqrt(1+x^2)) (0+2x)` `=x/sqrt(1+x^2) = (xsqrt(1+x^2))/(1+x^2) = (xy)/(1 + x^2) ` `THEREFORE y = sqrt(1 + x^2)` is a solution of `y. = (xy)/(1+x^2)` |
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