Let y(x) be the solution of the differential equation dxdy+cos2x3y=cos2x1 and y(4π)=34 then vaue of y(−4π) is equal to (a) −34 (b) 31 (c) e6+31 (d) 3

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Let $y (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{3 y}{cos ^{2} x} = \frac{1}{cos ^{2} x}$ and $y (\frac{π}{4}) = \frac{4}{3}$ then vaue of $y (- \frac{π}{4})$ is equal to (a) $- \frac{4}{3}$ (b) $\frac{1}{3}$ (c) $e^{6} + \frac{1}{3}$ (d) $3$

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Camila Discussed

Let

y (x)

be the solution of the differential equation

\frac{d y}{d x} + \frac{3 y}{cos ^{2} x} = \frac{1}{cos ^{2} x}

and

y (\frac{π}{4}) = \frac{4}{3}

then vaue of

y (- \frac{π}{4})

is equal to (a)

- \frac{4}{3}

(b)

\frac{1}{3}

(c)

e^{6} + \frac{1}{3}

(d)

3

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Question Text

Let

y (x)

be the solution of the differential equation

\frac{d y}{d x} + \frac{3 y}{cos ^{2} x} = \frac{1}{cos ^{2} x}

and

y (\frac{π}{4}) = \frac{4}{3}

then vaue of

y (- \frac{π}{4})

is equal to (a)

- \frac{4}{3}

(b)

\frac{1}{3}

(c)

e^{6} + \frac{1}{3}

(d)

3

Let $y (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{3 y}{cos ^{2} x} = \frac{1}{cos ^{2} x}$ and $y (\frac{π}{4}) = \frac{4}{3}$ then vaue of $y (- \frac{π}{4})$ is equal to (a) $- \frac{4}{3}$ (b) $\frac{1}{3}$ (c) $e^{6} + \frac{1}{3}$ (d) $3$

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Practice questions from similar books

Let y(x) be the solution of the differential equation dxdy​+cos2x3y​=cos2x1​ and y(4π​)=34​ then vaue of y(−4π​) is equal to (a) −34​ (b) 31​ (c) e6+31​ (d) 3

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Practice questions from similar books

Let $y (x)$ be the solution of the differential equation $\frac{d y}{d x} + \frac{3 y}{cos ^{2} x} = \frac{1}{cos ^{2} x}$ and $y (\frac{π}{4}) = \frac{4}{3}$ then vaue of $y (- \frac{π}{4})$ is equal to (a) $- \frac{4}{3}$ (b) $\frac{1}{3}$ (c) $e^{6} + \frac{1}{3}$ (d) $3$