मराठी

Find (Dy)By(Dx) at X = 1, Y = `Piby4` If `Sin^2 Y + Cos Xy = K`

Advertisements
Advertisements

प्रश्न

Find `(dy)/(dx)` at x = 1, y = `pi/4` if `sin^2 y + cos xy = K`

Advertisements

उत्तर

Consider the differential equation sin2y + cosxy = K

Differentiate the above differential equation with respect to x, to get the value of `(dy)/(dx)`

`=> d/dx (sin^2 y) + d/dx (cos xy) = d/(dx) (K)`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2016-2017 (March) Delhi Set 1

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Solve : 3ex tanydx + (1 +ex) sec2 ydy = 0

Also, find the particular solution when x = 0 and y = π.


Find the particular solution of the differential equation `(1+x^2)dy/dx=(e^(mtan^-1 x)-y)` , give that y=1 when x=0.


if `y = sin^(-1) (6xsqrt(1-9x^2))`, `1/(3sqrt2) < x < 1/(3sqrt2)` then find `(dy)/(dx)`


The population of a town grows at the rate of 10% per year. Using differential equation, find how long will it take for the population to grow 4 times.


How many arbitrary constants are there in the general solution of the differential equation of order 3.


The solution of x2 + y \[\frac{dy}{dx}\]= 4, is


Which of the following differential equations has y = x as one of its particular solution?


The solution of the differential equation \[\frac{dy}{dx} = \frac{y}{x} + \frac{\phi\left( \frac{y}{x} \right)}{\phi'\left( \frac{y}{x} \right)}\] is


\[\frac{dy}{dx} + 1 = e^{x + y}\]


(1 + y + x2 y) dx + (x + x3) dy = 0


x2 dy + (x2 − xy + y2) dx = 0


\[y - x\frac{dy}{dx} = b\left( 1 + x^2 \frac{dy}{dx} \right)\]


\[\frac{dy}{dx} + 2y = \sin 3x\]


Solve the differential equation:

(1 + y2) dx = (tan1 y x) dy


For the following differential equation, find the general solution:- \[\frac{dy}{dx} + y = 1\]


For the following differential equation, find a particular solution satisfying the given condition:

\[x\left( x^2 - 1 \right)\frac{dy}{dx} = 1, y = 0\text{ when }x = 2\]


Solve the following differential equation:-

\[\frac{dy}{dx} + \frac{y}{x} = x^2\]


Solve the following differential equation:-

\[\left( x + y \right)\frac{dy}{dx} = 1\]


The general solution of the differential equation `"dy"/"dx" = "e"^(x - y)` is ______.


If y = e–x (Acosx + Bsinx), then y is a solution of ______.


The general solution of the differential equation (ex + 1) ydy = (y + 1) exdx is ______.


The solution of the differential equation `("d"y)/("d"x) = "e"^(x - y) + x^2 "e"^-y` is ______.


The solution of the differential equation `("d"y)/("d"x) + (2xy)/(1 + x^2) = 1/(1 + x^2)^2` is ______.


General solution of `("d"y)/("d"x) + y` = sinx is ______.


The member of arbitrary constants in the particulars solution of a differential equation of third order as


Find the general solution of the differential equation:

`(dy)/(dx) = (3e^(2x) + 3e^(4x))/(e^x + e^-x)`


The differential equation of all parabolas that have origin as vertex and y-axis as axis of symmetry is ______.


If the solution curve of the differential equation `(dy)/(dx) = (x + y - 2)/(x - y)` passes through the point (2, 1) and (k + 1, 2), k > 0, then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×