Give the general solution of the differential equation y'-y = sinx + cos2x +e-x

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

A: Given y'=x+yand u=x+y

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

A:

Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

A:

Q: y = -CI cos 3x + C2sin 3X

A: Given, y=c1cos3x+c2sin3x We have to find the corresponding differential equation by elimination of…

Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: y" – y' = sint Solve the general solution of the differential equation by the method of change of…

A:

Q: Find the differential equation associated with y = clx^2+ c2x + c3

A:

Q: Find general solutions of the differential equation    (2xsinycosy)y'=4x^2+sin^2 y

A:

Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

A:

Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

A:

Q: Solve for differential equation of (y/x + 6x) + (ln x - 2)y′ = 0

A: Explanation of the answer is as follows

Q: Find the general solution of the differential equation y′ = tan3 3x sec 3x

A: Given: y' = tan3(3x)sec(3x) =>dy/dx = tan3(3x)sec(3x) =>dy = tan3(3x)sec(3x) dx

Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

A:

Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: Solve the differential equation by variation of parameters. y" - y = cosh(x) y(x) =

A:

Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.

A: Equation of straight line: y=mx+c Where, m = slope  c = y-intercept

Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

Q: y In(x) ln(y)dx + dy

A:

Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

A:

Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: Use variation of parameters to find a general solution to the differential equation: y"+y=sec (2)…

A: Variation of Parameters: Let y''+p(x)y'+q(x)y=r(x) be a second order non-homogenous ordinary…

Q: y"+y = cosecx cotx %3D

A:

Q: Find the solution of a given non-homogeneous differential equation using the variation of…

A:

Q: Solve the first order linear differential equation. dy - (cotx)y = sin³ | dr

A:

Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

A:

Q: Solve for differential equation  (y2-xy)dx+x2dy=0

A:

Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

A:

Q: Use separation of variables to find the general solution of the differential equation. (9 + x)y' =…

A: We have,

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A: General solution of the differential equation

Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

A:

Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Solve the differential Equation &Y"+y=nsion by using variation of parameter.

A: Given differential equation is ,                                  y" + y =  x sin(x)  Method of…

Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using…

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

A:

Q: Solve the differential equations using method of undetermined coefficient y"+y = x^2sin(2x)

A:

Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: 2. Form the differential equation having y=(sin-x)²+ A(cos-lx)+B. where A and B are arbitrary…

A: Introduction :

Q: The differential equation governing the decay of a certain radioactive substance through time is dq…

A:

Q: Please solve differential equation A - By = dy/dx A and B are constant.

A: The given problem is to solve the given differential equation where A,B are given as constants.

Q: Use variation of parameters to solve the differential equation x²y" + y = x. [Leave u₁ and u₂ in…

A:

Q: y' +y Inx = 0

A:

Q: 2. y"' + 4y' = sin x + 3 cos x

A:

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

A: