Find the particular solution to the differential equation 3t 4t у + Зу + 3у + у %3D 192е y = 500е - when y(0) =- 1, y (0) =- 7, and y (0) =- 37.

Q: 1. y = c1e-2x + cze²x + cze2x 2. y = c1e* + cze3x

A:

Q: Find the general solution of the given higher-order differential equation. y"" + 4y" - 9y' - 36y = 0

A: Follow the procedure given below.

Q: Find the particular solution for the differential equation y' = 4xe2x and y(0)=20.

A:

Q: Find the general solution of the differential equation by using (Variation of Parameters Method)…

A:

Q: Find the general solution for the differential equation: y" – 2y + y = 7-

A:

Q: According to the differential equation: T'=0.1T(1-T/1000)-0.05T What are the equilibrium values and…

A:

Q: Determine the form of a particular solution to the nonhomogeneous differential equation by the…

A:

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

A:

Q: Specifically a diffrential equations problem. I would really appreciate detailed steps. :)

A:

Q: Find general solutions of the differential equation  (2x+1)y'+y=(2x+1)^3/2

A: Consider the differential equation:

Q: Determine the form of a particular solution to the nonhomogeneous differential equation by the…

A:

Q: solution of the differential equation (x +3) y’ / (2x -3y -4) = 5

A:

Q: Find the gene solution of the differential equation y+2xyy'-e-2yy'=0

A:

Q: Obtain the solution of the differential equation y′ = (x + y)^2

A: Given differential equation is: dydx=(x+y)2                       (1) Let us assume (x+y)=t…

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-2t 2 = 0

A: We need to determine a differential equation corresponding to the general solution: y=c1e5t+c2e-2t.

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

A:

Q: Find the particular solution for the differential equation y' 4xe2x and y(0) =20.

A: Given that a differential equation and we find its particular solution . and also given that a…

Q: Find the particular solution that satisfies the differential equation and the initial condition. x²…

A:

Q: (y – c,)² + (x – c2)² = 1 %3D -

A:

Q: (2x + 3)y' = y + (2x + 3)2 ; when x = -1 & y = 0

A:

Q: Find the particular solution to the differential equation. 2y2 dx = 9x2 dy when x = 2, y = -3

A:

Q: y" – 3y' + 2y = 3e + 2e2* -

A: Given,y''-3y'+2y=3ex+2e2xNow,Auxillary equation ism2-3m+2=0m2-m-2m+2=0mm-1-2m-1=0m-1m-2=0m=1,2Since…

Q: Find the general solution of the differential equation 2xyy' = 2y² – x²

A: given 2xy y' = 2y' -x'y' = 2y2-x22xy---(1)put y =vxy' = v + xv'---(2)so from (!) we have y' =…

Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

A:

Q: =C2e(-2x) - 6xel-3x) - 5e (2x) + C₂e(-2x) + 6xe(-3x) + 5e (2x)

A: option A is correct answer

Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

A:

Q: Find the general solution of the differential equation by using (Variation of Parameters Method )…

A:

Q: The general solution of the differential equation y(5) − y(4) — 12y(³) = 0 is -

A:

Q: Solve the given third-order differential equation by variation of parameters. у" - бу" — у'+ бу 3D…

A:

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

A:

Q: What is the differential equation of 2y'=3y+1 when y(1)=0

A: Consider the provided D.E 2y'=3y+1  when y1=0 We need to find the solution of the given D.E, Since,…

Q: Find the general solution of the differential equation by using (Variation of Parameters Method) -2x…

A:

Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

A:

Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

A:

Q: 4. (4D2 + 4D + 1)y = 7e-* + 2 when y(0) = 1; y'(0) = 3

A:

Q: Determine the particular solution given the differential equations and conditions. 2= 3e* , y = 6…

A: dydx=3ex, find the particular solution and the function

Q: Find the particular solution of the differential equation using the method of undetermined…

A:

Q: 1/x+ y+(3y² + x)y =0

A: Given differential equation is of the form,  M dx + N dy=0

Q: Find the general solution of the first-order linear differential equation y′ + 3x2y = 6x2 for x >…

A: Given: The first-order linear differential equation: y'+3x2y=6x2 for x>0.

Q: Find a differential equation whose general solution is y = c₁e5t + c₂e-²t. = 0

A:

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

A:

Q: 2.Solve the linear differential equation for general solution y′′ − 20y′ + 100y = 0,

A:

Q: What are two linearly independentsolutions of the differential equation y''-5y'-6y=0

A: We have to find linearly independent solutions of the given differential equation.

Q: Form the differential equation if its solution is y=acos2x+bsin2x a. y"+4y=0 b. y" – 4y = 0 c.…

A:

Q: b. y = C, + Cze3*

A:

Q: Find a differential equation whose general solution is 6t y = c₁et + c₂e -3t = 0

A: We find a differential equation whose general solution is y=c1e6t+c2e-3t.