y'= csc x + y cot x 2.

Q: Find the general solution to the following differential equation by using method of undetermined…

A: Sol

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

A:

Q: Consider the following differential equation y' + \frac{y}{x} = cos(x) What is the general…

A: According to the given information, it is required to solve the given differential equation.

Q: . Find the differential equation whose solution corresponds to the following equation. 1) y = αcos(x…

A: y = αcos(x + β) So, y' = - αsin(x + β) & y" = - αcos(x + β)

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x=(0, π). is:

A:

Q: Find the solution of the following Differential Equations by Homogenous Equation 8) y' = tan(x+ y)–1

A: Given : The differential equation is : y'=tan(x+y)-1 We have to find the solution of the given…

Q: Solve the given third-order differential equation by variation of parameters. y" + y' = cot(x) y(x)…

A:

Q: dy = (x³ – 2xy)dx

A:

Q: sin x sin y y' cos x cos y

A:

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 3x sin(x) y(x) =…

A: Find the complementary function as follows.The auxiliary equation of the given differential equation…

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

A:

Q: Solve the following first-order differential equation: y (ln y² -  ln x² + 1)dx - xdy = 0, y(1) =…

A:

Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: Find the general solution to the differential equation using undetermined coefficients. y" + 5y =…

A:

Q: y' + (2 tan x)y = - cos'x

A:

Q: (3ху + 3у - 4) dx + (x+1)2dy %3D0

A:

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec sec2(x) dy = 0

A: Solve the given differential equation by separable method.

Q: Solve the given differential equation by variation of parameters. y'' − y' = xex

A:

Q: dy -2 sin x where y (5 = JT dx

A:

Q: Find constants A and B so that y = A cos(x) + B sin(x) satisfies the differential equation y" + y' –…

A:

Q: Solve the given differential equation by separation of variables. dy = sin(3x) dx

A:

Q: find the general solution of the given differential equation. 7.y″ + y = 3 sin(2t) + t cos(2t)

A:

Q: verify that the indicated function is an explicit solution of the given differential equation…

A:

Q: y" - 2y + y

A:

Q: Solve the given third-order differential equation by variation of parameters. y"" + y' = cot(x) y(x)…

A: To find- Solve the given third-order differential equation by variation of parameters. y''' + y' =…

Q: a. y = 3 sin 2x+ e-* ;y" + 4y = 5e-*

A: y=3sin2x+e-xAnd y''+4y=5e-x

Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: Solve the given differential equation by separation of variables. csc(y) dx + sec²(x) dy = 0 s(x):…

A: To solve the given differential equation using separation of variables

Q: dy + ydx = 2xy² e*dx

A:

Q: (x4 + 2y)dx - xdy = 0

A:

Q: 'dy = (cscx- ycotx)dx

A:

Q: y" +y = cos x ; when x = = 0, y = 0,y' = 1 %3D

A:

Q: For the given non exact differential equation, determine the integrating factor. (x2 + 2xy - y2) dx…

A:

Q: Solve the given differential equation by separation of variables. csc y dx + secx dy = 0

A:

Q: Solve the given differential equation by undetermined coefficients. y" + y = 3x sin(x) y(x) =

A:

Q: Show that the differential equation [y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0 is exact.Hence solve it

A:

Q: Find the general solution to the differential equation y = x² tan(y) y = help (formulas)

A: Solution: The objective is to find the general solution to the given differential equation

Q: Solve the following differential equation y′′−y = ex by the method of variation of parameters.

A:

Q: Form the differential equation by eliminating the arbitrary constants y = a csc x + b cot a

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A:

Q: Solve the given differential equation by separation of variables. ds ks = dr S =

A:

Q: y" + y' = sect tan t

A:

Q: Find the general solution of the differential equation: y′=(1+y)secx+tanx

A:

Q: obtain the linear differential equation with the real, constant coefficients that is satisfied by…

A: Solution.

Q: obtain the solution of the following differential equation y'=cos^2x cosy

A: Given differential equation is: dydx=cos2xcosy Use variable separable to get solution of…

Q: 6. xy' +y-x+ xycotx = 0

A:

Q: dy_ y²sec² (-) tan (-) dx x2

A:

Q: )(I + cos x) y Sin?x + Sin? x cos x -y sinx

A:

Q: Use the method of variation of parameters to find a particular solution of the following…

A: Given differential equation is, y"+4y=cos8x Auxiliary equation is, m2+4=0m=±2i Then the…