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Choose the correct alternative: If sin x is the integrating factor of the linear differential equation ddPQdydx+Py=Q, then P is

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प्रश्न

Choose the correct alternative:

If sin x is the integrating factor of the linear differential equation `("d"y)/("d"x) + "P"y = "Q"`, then P is

पर्याय

  • log sin x

  • cos x

  • tan x

  • cot x

MCQ
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उत्तर

cot x

shaalaa.com
Solution of First Order and First Degree Differential Equations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Ordinary Differential Equations - Exercise 10.9 [पृष्ठ १७६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 10 Ordinary Differential Equations
Exercise 10.9 | Q 18 | पृष्ठ १७६

संबंधित प्रश्‍न

Solve the following differential equation:

(ey + 1)cos x dx + ey sin x dy = 0


Solve the following differential equation:

`2xy"d"x + (x^2 + 2y^2)"d"y` = 0


Choose the correct alternative:

The general solution of the differential equation `log(("d"y)/("d"x)) = x + y` is


Choose the correct alternative:

The number of arbitrary constants in the particular solution of a differential equation of third order is


Solve: (1 – x) dy – (1 + y) dx = 0


Solve: `log(("d"y)/("d"x))` = ax + by


Solve the following homogeneous differential equation:

`x ("d"y)/("d"x) = x + y`


Solve the following homogeneous differential equation:

`(x - y) ("d"y)/("d"x) = x + 3y`


Solve the following homogeneous differential equation:

`x ("d"y)/("d"x) - y = sqrt(x^2 + y^2)`


Solve the following homogeneous differential equation:

`("d"y)/("d"x) = (3x - 2y)/(2x - 3y)`


Solve the following:

`("d"y)/(""dx) + y cos x = sin x cos x`


Solve the following:

`x ("d"y)/("d"x) + 2y = x^4`


Solve the following:

`("d"y)/("d"x) + (3x^2)/(1 + x^3) y = (1 + x^2)/(1 + x^3)`


Solve the following:

A bank pays interest by continuous compounding, that is by treating the interest rate as the instantaneous rate of change of principal. A man invests ₹ 1,00,000 in the bank deposit which accrues interest, 8% per year compounded continuously. How much will he get after 10 years? (e0.8 = 2.2255)


Choose the correct alternative:

The integrating factor of the differential equation `("d"y)/("d"x) + "P"x` = Q is


Choose the correct alternative:

The differential equation of y = mx + c is (m and c are arbitrary constants)


Choose the correct alternative:

A homogeneous differential equation of the form `("d"x)/("d"y) = f(x/y)` can be solved by making substitution


Form the differential equation having for its general solution y = ax2 + bx


Solve (D2 – 3D + 2)y = e4x given y = 0 when x = 0 and x = 1


Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`


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