Solution of differential equation dy dx = x + 2x, is - Vidyadip

MCQ

Solution of differential equation $\frac{{dy}}{{dx}} = \sin x + 2x$, is

✓
$y = {x^2} - \cos x + c$
B
$y = \cos x + {x^2} + c$
C
$y = \cos x + 2$
D
$y = \cos x + 2 + c$

✓

Answer

Correct option: A.

$y = {x^2} - \cos x + c$

a
(a) $\int_{}^{} {dy} = \int_{}^{} {\sin xdx} + \int_{}^{} {2xdx} $ ==> $y = - \cos x + {x^2} + c$.

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