Given the differential equation dy = 3y? sin (6x) dx and its integral setup dy 3 sin (6x) dx

Q: 3. Find the general solution of this separable differential equation. dy y cos x dx sin x + 2

A:

Q: Given, ( +) dx + ( y4 Aæ+1) dy = 0 is an exact differential equation. %3D Determine the value of A.

A:

Q: Which is the correct auxiliary equation for the d²y dy differential equation =2-? dx dx 2

A: Given differential equation is d2ydx2=2dydx

Q: What is the simplest form of the integrating factor for the differential equation y' +…

A:

Q: Solve the differential equation: x. dy + y. dx = sin(x) dx

A:

Q: dy Solve the non-Linear differential equation cos y sin y(1 – Osin y) given that y(0)-7.

A: Here we integrate the given equation and solve the equation.

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Given differential equation

Q: What is the integrating factor to (2y2 + 3xy – 2y +6x) dx + x (x + 2y – 1) dy = 0, to make it an…

A:

Q: dy Find the particular solution of the differential equation of x-y = 4x' sin(x) with the dx…

A:

Q: Solve the given differential equation by using an appropriate substitution. dy %3D sin(x + y) dx

A:

Q: What is the general solution to the differential equation (2xy – tan(y))dx + (x² – xsec?y)dy = 0? |

A: First we have to show that the differential equation is exact. Then we find the general solution of…

Q: d²y dy 1 + x- -+y = x > 0 dx² dx sin(In(x))'

A:

Q: In the differential equation (xy+1)dx+x(x+4y-2)dy=0, the integrating factor is,

A:

Q: Solve the differential equation dy y? sin(2x) sin (x) = 0, y(0) = 1 dx - %3D

A: Given : Differential equation dydx - y2 sin2xsin2x = 0 Boundary condition y0 = 1   To find :…

Q: What could be an integrating factor in solving the differential equation dx (tan y) x = sin y ? dy…

A: Integrating factor of differential equation

Q: Given the differential equation (ye- sin x) dx –(e+2y) dy =0, what is the value of f'(y)? A 2y - y2…

A:

Q: Solve the differential equation dy = sin x, y(0) = 3. dx

A:

Q: The integrating factor for the differential equation dy X- dx 4x cos(x)y = –5e* is e-4 sin(x) Select…

A:

Q: Find the implicit solution of the differential equation (1+sin(y))dx + (1+x cos(y))dy = 0.

A:

Q: dy Show that given differential equation da y cos z + sin y + y sin a + r cos y +x 0 is Exact and…

A:

Q: If the differential equation corresponding to the family of curves y = (a + bx) e3x is given by dy =…

A: The given differential equation is d2ydx2=adydx+by....(1) Now, y=a+bxe3x is a solution to the…

Q: Match the differential equation dy / dx = sin 2x with its slope field.

A: Match the differential equation dy / dx = sin 2x with its slope field.

Q: dy Vx ev+Vx¸ x > 0 %3D X dx

A: To Find the seperable differential equation

Q: Given the differential equation dy +y dx=2xy²e* dx, what is the value of the integrating factor?

A:

Q: Solve the differential equation: dy/dx*(sin(x)) + y*(cos(x)) = sin2(x)

A: We have to solve the given differential equation.

Q: The Pl of differential equation (D +D+1)y = cosx is a) sin 2x b) sin x 1 cos 2x 1 sin 2x 3 c) d)

A:

Q: . Given the differential equation: 3x² cos y dx - sin xdy + 2xdx = y cos x dx + 2x³y sin y'dy, y(0)…

A: Given: The differential equation is 3x2cosy2dx-sinxdy+2xdx=ycosxdx+2x3ysiny2dy. The given step size…

Q: The degree of the differential equation dx (割()). +sin dy +1=0is: dx dx Select one: O A. 2 О в. О O…

A: Degree of a differential equation: Order of a differential equation is the order of the highest…

Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: Given : (e* + In y + 2)dx + Š + In x + sin y )dy = 0 Find the general solution for this differential…

A:

Q: State the order of the given ordinary differential equation. dzy dx2 dy V 1 + dx

A:

Q: Find the Particular integral for the given differential equation d'y dy -8- dx dx + 15y cos5x

A:

Q: dy Solve the non-Linear differential equation cos - = sin y(1 – O sin y),given that y(0) = 3. do

A:

Q: ly- cos? x) dx+ cos xdy = 0

A:

Q: Solve the differential equation:COsx dx +[sin(x+y) + sin(x – y)]dy=0

A: Given, cosxdx + [ sin(x + y) sin(x- y) ]dy = 0 we have to solve the differencial equation

Q: The appropriate integrating factor for the following differential equation (3xy – y?)dx + x(x - y)dy…

A:

Q: Solve the non-Linear differential equation dy Cos y de sin y(1 – 0 sin y),given that y(0) = 8.

A:

Q: dy Vx ev+Vx dx

A: Given:        xdydx=ey+x

Q: Determine whether the given differential equation is separable. dy + 10 sin (x - y) = 0 dx

A:

Q: Given a non-exact differential equation(x - sin?y)dy + sin y dx = 0. Find two integrating factors.

A:

Q: The general solution of the linear differential equation dx/dy -(cot x) y=sin(2x) *

A: The differential should be dy/dx instead of dx/dy.

Q: Solve the given differential equation by separation of variables. dx y In(x) dy y + 1\2 %3D

A: Given : yln(x) dx/dy = ( y+1 / x )2

Q: dy 6 cos(nx) dx

A: Given differential equation is  yy' = 6 cos(πx)

Q: Solve the differential equation 2 dy dy 1+ dx dx2 assuming x > 0 and > 0. dy dx

A:

Q: use an integrating factor to solve the given differential equation dy 2 2 + Зx у — х dx

A:

Q: If tan x sin x is an integrating factor of the differential equation + Py = Q then P =? dx

A:

Q: Given the differential equation (ye-* - sin x) dx – (e ¬*+ 2y) dy =0, what is the value of f'(y)? (A…

A:

Q: Determine the order of this differential equation: (dy/dx)6 + y + d5 y/dx5 = cos x

A: We need to deetermine the order of the differential equation given by (dy/dx)6 + y + d5 y/dx5 = cos…