Which of the following functions form a particular solution of the differential equation y"+y = sinx on (-,∞) O y_p=(-1/2) cosx O None of the above О У -р-(-1/2) хсоsx O y_p=(-1/2) xsinx

Q: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: The single Solution of the differential e quation y=Px+ Cas (P) a) (-Y +* sin'slu? b) (-y - X…

A:

Q: how that the general solution of the differential equation 4z'' - 4z' - 3z = cos2x takes the…

A:

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

A:

Q: The differential equation y"" +9y' = xsin x + x²e²x is given. Which of the followin is definitely…

A: Given differential equation

Q: Aşağıdakilerden hangisi e tan ydz +dy = 0 diferansiyel denkleminin çözümüdür? %3D O ày = sin (e* e…

A: We have to solve the given differential equation  It is obvious that given differential equation is…

Q: Form the differential equation for the function xy = ae2x – be-2x a. xy" – y' = - 4xy O b. xy" – 2y'…

A: The given equation is xy=ae2x-be-2x. Evaluate the differential equation as follows.…

Q: Solve the following differential equation y'"+2y' +5y= e2*coshx Select one: O a.…

A:

Q: A solution of the Ordinary Differential Equation x?y'' - 2xy' + (x² + 2) y = 0, x > 0 is defined by…

A: 4th option is correct. y_p= xcos(x)

Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

A:

Q: ear differential equation y' - (sinx)y = 2sinx is:

A:

Q: The solution of the first order linear differential equation y' + ycotx = cosx is O…

A:

Q: Solve the following differential equation CSCX у' — secxу %3D4 Select one: O a. YG.S= cscx(2sin?x+c)…

A:

Q: c,e sin 3x, we use elimination of constants. If by getting the - 3с, sin 3x + Зс, сos 3x, To find…

A: Given:       The solution to the differential equation of y=c1e2xcos3x+c2e2xsin3x is option B…

Q: Solve the following differential equation CSCX y' — secx у %34 Select one: a. YG.s= = cscx(2sin?x+c)…

A:

Q: Solve the following differential equation y = - 3x²sec²(-x² - y) Select one: Oa. +C O b.(-x-y)-…

A: In this question we have to solve the differential equation.

Q: Which of the following equations is NOT a variable separable differential equation? e² y dy − (e- +…

A:

Q: Verify that the function y (cos( 6x)) is a solution to the differential equation y = 6 sin(6 9e

A:

Q: Obtain the factored form a linear differential equation, with real and constant coefficients, that…

A:

Q: Form a differential equation by eliminating the arbitrary constant a and b from the equation y = ax²…

A: Differential equation will be, y=xdxdy​−2x2​dx2d2y​  Explanation: