Solve the following initial value problem, d²x dt² + x = 8(t - π) - 8(t-2π) (t> 0), x(0) = 0, x'(0) = 1. t plane. Sketch the graph of the solution in the x

Q: Find the solution of the DE using variation of Parameters y''' - 3y'' + 3y = (ex/x)

A: The given problem is to find the solution of differential equation using method of variation of…

Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: Find the general solution to y''-1=0

A: y''-1 =0y'' = 1y' = ∫1 dxy' = x + By =∫(x + B) dxy = x22 + Bx + A

Q: e the following nth-order equation using the variation of parameter method: y"-3y"+3y'-y=

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Q: D. Exponential shipting Theorem (D°+ 10* - 30 - 18) y = 24 x ° e-s* -3x 4.

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Q: Use the convolution to write a formula for problem: y" + 25y = f(t), y(0) = -2, y(0) = 1. |

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: Given the Bernoulli's equation Dy/DX+yP(x)=y^n Q(x) and x=y^1-n, reduce the equation to the linear…

A: Given differential equation is                                           dydx+yP(x)=ynQ(x);  x=y1-n…

Q: How do I find the particular solution yp in the equation above?

A: For particular equation we will crate function for particular integral. Then we solve it by using…

Q: y" -2y" - y' + 2y = sin x

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Q: yy"-1 y'

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Q: y' +y = x*y2 , y(2) = -1,x > 0 is

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Q: x.y’ + y + 2y’ – xsinx = 2sinx solve the equation

A: Given that xy'+y+2y'-xsinx=2sinx The equation can be rewritten as, xdydx+y+2dydx-xsinx=2sinx So,…

Q: Solve the following DE t''-3t'+2t=3-4x; t(0)=1/4 , t'(0)=3

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Q: DB#13: SOLVE FOR X: VZx+3-1= Vx+I %3D

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Q: x2 (4) Calculate the result of the equation Having x= 0 , 1 , 2 /5+ x

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Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution,…

A: Given y'+5y=2 We have to find ∅x

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

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Q: (1 + t2)(dy/dt) + t · y = (1 + t2)5/2. Find general solution. SHOW ALL STEPS PLEASE. I DON'T KNOW…

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Q: Find an equation of the tangent to the curve f(x) = √√x+8 that has slope 4 O A. O B. O C. D. 1 y =…

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Q: Find the general solution of the following equation valid near the origin: (1+4x2)y''-8y=0

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Q: [  y'''- y' = ex - 2x  ] Please find a particular solution yp for the above.

A: Particular Solution: Consider the equation Let be the differential operator Then equation (1) can…

Q: Find the general solution of y" - 6y"=3 - cosx.

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Q: Solve the following 3rd order equation: y'"+2y"-y'-2y=0

A: First find roots then general solution..

Q: Suppose the line y = 7x − 7 is tangent to the curve y = f(x) when x = 3. If Newton's method is used…

A: Introduction: A tangent is a straight line that touches the curve at exactly one point. The point is…