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  • Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation: y = Ax : xy' = y ( x not equal to 0)

5. Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

     y = Ax\qquad :\ xy' = y\;(x\neq 0)

Answers (1)

best_answer

Given,

y = Ax

Now, differentiating both sides w.r.t. x,

\frac{\mathrm{d}y }{\mathrm{d} x} = \frac{\mathrm{d} }{\mathrm{d} x}(Ax) = A

Substituting the values of y' in LHS,

xy' = x(A) = Ax = y = RHS.

Therefore, the given function is a solution of the corresponding differential equation.

Posted by

HARSH KANKARIA

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