The general solution of the differential equation $\frac{dy}{dx}=\cos x$ is : (a) $y=\sin x-2$ (b) $y=\cos x+c$, $c$ is an arbitrary constant (c) $y=\sin x+1$ (d) $y=\sin x+c$, $c$ is an arbitrary constant

The general solution of the differential equation (dy)/(dx)=cos x is : (a) y=sin x-2 (b) y=cos x+c, c is an ar

Question 28 of 43

\frac{dy}{dx}=\cos x

(a)

y=\sin x-2

(b)

y=\cos x+c

c

is an arbitrary constant

(c)

y=\sin x+1

(d)

y=\sin x+c

c

is an arbitrary constant

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$y=\int\cos x\,dx=\sin x+c$ .

Separating and integrating $\dfrac{dy}{dx}=\cos x$ :

$y=\int\cos x\,dx=\sin x+c,$

where $c$ is an arbitrary constant (a first-order equation's general solution must contain one arbitrary constant). Options with fixed …