sin x sin y dx + cos x cos y dy = 0

Q: (cos x cos y cotx) dx - sin x sin y dy = 0. -

A:

Q: 3. sin x cos y dx + cos x sin y dy = 0

A:

Q: (sin y – y sin æ)dx + (cos x + x cos y – y)dy = 0

A:

Q: 5. Solve: (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0

A:

Q: sin (y) x° dy – x tan(y) dy

A:

Q: y + (cos x) y =3 sinx.cosx

A:

Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

Q: y dy sin x dx y = sin+1 x X

A: As give equation is homogeneous differential equation so we need to use substitution to convert it…

Q: Use graphs to evaluate

A: Given  and

Q: Can you help me step by step?

A: The derivative of a function is computed as follows.

Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

A:

Q: sin x sin y dx + cos x cos y dy = 0 2 mydx — пхdy

A:

Q: x cos'(y)dx + tan y dy = 0, y(4) = 7 2. X COS

A:

Q: f(x) = ex sin(x) + cos(x) %3D

A:

Q: Stan (x)sec°(x)dx Scot*(x)csc°(x)dx Ssin*(x)cos°(x)dx

A: ∫tan5xsec6xdx

Q: Find integral.

A: The given integral ∫cosxsinx dx can be evaluated as, Put, cosx=t Taking differential on both sides,…

Q: y = (sin x + cos x) sec x

A:

Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: Find dy/dx 1. sin^−1(xy) = cos^−1(x − y) 2. sec^−1(2y cos x) = x^y

A:

Q: . cosx dy + y(sin x – 1) dx = 0; when x = , y= -2 %3D

A: This is linear differential equation. We will first convert this equation into simplified form and…

Q: dy - y In(ye cos *)dx = y cos x dx COS X

A:

Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: sin y(x + sin y) dx + 2x² cos y dy = 0.

A: Given equation is  siny(x+siny)dx+2x2cosydy=0

Q: Find dy/dx. Y = cos (cos x). A sin(cos x) sinx sin x cos x sin x B.

A:

Q: S sin'x·cos'x dx

A:

Q: x + y sin 2 ) dx x sin 2 dy = 0 -

A: The solution is given in the next step.

Q: dy cos(x)–+ y sin(x) = sin²(x) cos(x) y³ %3D dx

A:

Q: (cos x cos y cotx) dx - sin x sin y dy = 0 -

A:

Q: (sin y – y sin x)dx + (cosx + x cos y)dy %3D

A: siny-ysinxdx+cosx+xcosydy=0An ODE Mx, y+Nx, yy'=0 is in exact form if the following holds:1.  There…

Q: Find integral.

A: Here given integration I=∫cos x-4/3sin x dx Consider cos x=t-sin x dx=dt

Q: cos(y) sin(y) + 1 cos(y) 2 tan(y) sin(y) – 1

A: By taking LCM and using trigonometric identities we can simplify L.H.S to R.H.S.

Q: find dy/dx. y = 3/x+ 5 sin x

A: We have to find the derivative.

Q: 4. (sin y - y sin x) dx + (cos x +x cos y- y) dy = 0

A: Note: As per our guidelines we are allowed to solve one question

Q: (sinx+1) y = (cosx+1)' dy evaluate dx

A: We have to find the derivative

Q: dy cos x + v sin x = sin x cOS X dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: sin x dx 2+ cos x 4. - T

A:

Q: (sin y- y sin x)dx + (cosx + x cos y)dy = 0

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: sin y cos(cos y)dy

A: We have to evaluate the integral: ∫sin y coscos ydy In this case we will use substitution method. So…

Q: 4) sin x sin y dx + cos x cos y dy = 0

A:

Q: (2y sin(x) cos(x) – y + 2y e) dx = (x – sin (x) – 4xyey)dy.

A: the differential equation Mdx+Ndy=0 is exact when ∂M∂y=∂N∂x where M and N are functions of x and y…

Q: 2. sin x siny dy + cos x cos y dx = x² sin x cos y dx

A:

Q: Find dy dx if sin(x + y) = tan(xy)

A:

Q: sin y) dx - (y + ex cc

A:

Q: dy ху* - сosx sin x . У (0) -2 y(1–x²) dx

A:

Q: 3. sin x cos y dx + cos x sin y dy

A:

Q: sin x dx 7+ cos x 2

A:

Q: Sst. sin x (3cos x)dx VZ 3x dx V1-x

A: Given : Two integral equations given