हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

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

Advertisements
Advertisements

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

विकल्प

  • log sin x

  • cos x

  • tan x

  • cot x

MCQ

उत्तर

cot x

shaalaa.com
Solution of First Order and First Degree Differential Equations
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Ordinary Differential Equations - Exercise 10.9 [पृष्ठ १७६]

APPEARS IN

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

संबंधित प्रश्न

Find the equation of the curve whose slope is `(y - 1)/(x^2 + x)` and which passes through the point (1, 0)


Solve the following differential equation:

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


Solve the following differential equation:

(ey + 1)cos x dx + ey sin x dy = 0


Solve the following differential equation:

`[x + y cos(y/x)] "d"x = x cos(y/x) "d"y`


Solve the following differential equation:

`(x^3 + y^3)"d"y - x^2 y"d"x` = 0


Solve the following differential equation:

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


Solve the following differential equation:

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


Solve the following differential equation:

`(y^2 - 2xy) "d"x = (x^2 - 2xy) "d"y`


Solve the following differential equation:

`(1 + 3"e"^(y/x))"d"y + 3"e"^(y/x)(1 - y/x)"d"x` = 0, given that y = 0 when x = 1


Solve the following differential equation:

(x2 + y2) dy = xy dx. It is given that y (1) = y(x0) = e. Find the value of x0


Solve: ydx – xdy = 0 dy


Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`


Solve: `("d"y)/("d"x) = y sin 2x`


Solve the following homogeneous differential equation:

The slope of the tangent to a curve at any point (x, y) on it is given by (y3 – 2yx2) dx + (2xy2 – x3) dy = 0 and the curve passes through (1, 2). Find the equation of the curve


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:

If y = ex + c – c3 then its differential equation is


Choose the correct alternative:

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


Choose the correct alternative:

If sec2 x is an integrating factor of the differential equation `("d"y)/("d"x) + "P"y` = Q then P = 


Choose the correct alternative:

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


Choose the correct alternative:

Which of the following is the homogeneous differential equation?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×