Given y'' + 2y' + y = 3te-t when t = 0 and x = 4 and x' = 2. Solve for its solution Y (s). a. Y(s) = 4/(s+1) + 10/(s+1)2 + 3/(s+1)4 b. Y(s) = 4/(s+1) + 6/(s+1)2 + 3/(s+1)4 c. Y(s) = 10/(s+1) + 4/(s+1)2 + 3/(s+1)4 d. Y(s) = 6/(s+1) + 4/(s+1)2 + 3/(s+1)4

Q: 2) Use y = ax to solve 2'y" - xy' + (x+1)y=0.

A: The given differential equation is: 2x2y''-xy'+x+1y=0. We have to solve using y=∑n=0∞anxn+r.

Q: X1 - x2 +1 = 0) 1. Solve : x,? + x,² = 4 } with seed values x1(0) = 0.8 and x2(0) = 1.8. Compute up…

A: x1 - x2 + 1 = 0  =>  x1 = x2 - 1  x12 + x22 = 4 =>  x2 = (4 - x12)1/2    x1(0) = 0.8, x2(0) =…

Q: Solve the given equation.. (3x²y + 2xy+y³)dx + (x² + y²)dy=0

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Q: Use undetermined coefficients to find the particular solution to y'' - 3y' + 2y = e(-26-24x)

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Q: 2 Solve for y. 3y-9 y = y+12

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Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

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Q: 14. If MZSTU = (5x – 16)' and mSU = (12r – 50) , find MZSTU.

A: Given,       m∠STU=5x-16°   and   m SU⏜=12x-50°

Q: 2.x²y"+xy'–3y= 0,x>0

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Q: What is the general form of a particular solution that should be used when using the method of…

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Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0.

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Q: Find a particular solution to the given higher-order equation. y'"' - y'' - 22y' +40y = - 40t²…

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Q: Find the general solution x²y" - xy + y = x lnx

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Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: y" + 4y + 4y = e-2x x²

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Q: 11. y = 5 3 * tn() 15 2x А. Inin 8 (35 С. Inin 15 (3" g") 2/x В. 15)(15) D.

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Q: Solve: x dr 2y = 2x; y (2) = 8 O y = 2z' – 54 y = 2x' + 54

A: We need to solve the following differential equation.  So,               xy' -2y=2x7⇒y' -2xy=2x6…

Q: 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 1 2y = (2x+3) 2 In (2x+3) In(2x + 3) 3 y=…

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Q: Q1: If y" + y = x², then yp = Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) c₁e* + c₂ex +…

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Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

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Q: Find the general solution of the DEs 1- f"(x)= y"(x)=12x +6x-8

A: The given differential equation is a second order differential equation so we will first reduce its…

Q: 12. Solve for x. 120 (Sr + 21)'

A: To find :                  Solve for x

Q: 5. Given: f (x) = ax³ – 9x² + 2x – 4 and g(x) = bx³ – 5x² + 62x + 70 | Solve for all values of a and…

A: We have to find

Q: (2k

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Q: Solve: y' + 4y - 17y' - 60y: = y(0) = - 4, y'(0) = - -5, y(t) = = - 72et y''(0) = - 65

A: First we will find the Auxiliary equation of given differential equation to get Complementry…

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Q: I. Solve for the unknown/s. 1. x:4 = (2x + 3) = 12 2. (x+ 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x –…

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Q: (2) x (x+3)y"+2y'+y=0 solve for yox)

A: To solve the differential equation: x(x+3)y''+2y'+y=0 We can start by assuming a solution of the…

Q: What is the solution of the y'''-(y'')3=0 You can find given options at the attachment. Thanks for…

A: Given y'''-(y")3 =0  The given 3rd order nonlinear ordinary differential equation.

Q: Determine the value of k that will make y = 2cos(2x) a solution to ky - y" = y. Ok = 5 Ok=0 Ok = -3…

A: Step 1:​y=2cos(2x) is a solution of ky−y′′=y.​Step…

Q: 4 Solve for y(x) y"-y-16=0

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Q: 1. Verify x₁ = t²x² = (' -3t 5 3t+²) and x2 = 5t 3t² -2t X. t -t-> - are solutions to

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Q: Solve (1) 5-3x 2. (2) 4. 2 3 y-31 y-5 2 5 (3) 2. 4 4)

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…