You visited us 1 times! Enjoying our articles? Unlock Full Access!

Composite Function

The graph of ...

Question

The graph of the function $y = f (x)$ passing through the point $(0, 1)$ and satisfying the differential equation $\frac{d y}{d x} + y cos x = cos x$ is such that?

It is a constant function

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

It is periodic

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

It is neither an even nor an odd function

No worries! We‘ve got your back. Try BYJU‘S free classes today!

It is continuous & differentiable for all x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
A It is a constant function
B It is periodic
D It is continuous & differentiable for all x

Suggest Corrections

Similar questions

\frac{d y}{d x} . s i n x - y c o s x + \frac{s i n^{2} x}{x^{2}} = 0

y \to 0

x \to \infty

y = f (x)

(0, 1)

\frac{d y}{d x} + y cos x = cos x

f (x)

f (x) = \frac{tan (π [x - π])}{1 + [x]^{2}}

[.]

x d y + y d x = 0

(2, 8)

y = f (x)

\frac{d y}{d x} sin x - y cos x + \frac{{sin}^{2} x}{x^{2}} = 0

{lim}_{x \to \infty} f (x) = 0

\to

Join BYJU'S Learning Program