Find a particular solution to the nonhomogenous differential equation y" - 4 y'= -16+2 est

Q: y" – 7y' + 10 = 0, y(0) = 2 and y'(0) = 4 %3D

A: A detailed solution is given below.

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Use the method of undetermined coefficients to solve the differential equations

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: a) State the order of the differential equation and determine whether the equation is linear or…

A: This is non homogeneous differential equation.

Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

A:

Q: Guess the form of the particular solution (a) y" - 3y + 2y = et (b) y" - 3y + 2y = t²e²t 1

A:

Q: Date (2) (3 x² + y cusx) dx + (sin x - 4y³) dy so solve using exact equations X = 0 y = 2 Answer: 0=…

A:

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: rential equations f

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: ple to nnd (8) for the given finction. b. f(t) = e" sinh?t.

A:

Q: y = y2 y = Yı)

A:

Q: The rate of increase in a bank account is 4% of the amount in the account; the initial deposit is…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Find the general solution of the differential equation: 4y" + 36у 3 csc3t

A: Given equation is  4y''+36y=csc3t               (i) It is a second order linear nonhomogeneous…

Q: 5. (2x – 3y) dx + (2y- 3x) dy 0 [2 classifications]

A:

Q: Use the above to solve the following system of differential equations: 31= x1+2x2 3/2 = 2x1 + x2

A:

Q: 3) 2x (1+y²) dx -y (1+2x²) dy=0 4) dx + x lnxlny dy =0

A:

Q: 4. (2x – 5y + 1) dx – (5y – 2y) dy = 0

A:

Q: /y' + 10 = 0, y(0) = 2 and y'(0) = 4 %3D %3D

A:

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: Show that In y | In x dy = 0 dx +|1+ is an exact differential equation. Hence, find the solution.

A: The given differential equation is                                                         1+ln…

Q: n dy don 2 of

A: Given:xdydx=y-x2+y

Q: -3z y" + 6y' + 9y = for a> 0.

A: