Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 , y''(0)=-4

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval…

A:

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

A:

Q: Solve the following quadratic function by utilizing the square root method. y=x^(2)-1 x=+-[?]

A: given that,

Q: Enter an expression equivalent to (3w°+2y' - 3x) + (2r' + y' - 20) - (w'+ 3y'+ x) using the fewest…

A: We have to express the expression into fewer terms.

Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

A:

Q: Use the quadratic formula to solve for x from the equation -(1/4)x^2 + x + 10^-14 = 0

A:

Q: Find the root of equation  X^3-x^2+2sinx=0 By using N-R method.

A: Newton Raphson Method xn+1=xn-f(xn)f'(xn)

Q: y is initialized with 90 and multiplied by a factor of 4 each time x increases by 1 1. y = 90 + 4x.…

A: here option (4) is true

Q: Solve using method of undetermined coefficients (D2 + 4D + 5) = 13e3x + 50x When x=0, y=0, y'=0

A: Solution is given below:

Q: Solve for the particular solution: (D³ - 5D² + 4D)y = 12x² - 38x +4 yp = -3x^2 + 2x + 3 О yp = x^3 -…

A:

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: Find the solution of HLDECC: (4D^5-23D^3-33D^2-17D-3)y=0 the answer should be y=e^(-x)…

A: Given that the differential equation (4D5-23D3-33D2-17D-3)y=0. Find the solution of the given…

Q: Evaluate the equation   9^(4x) + e^(11x-7) = 0

A:

Q: a. Using the fixed point method, derive the formula xn= x-1-b 'n-1 2xn-1-a For the approximate roots…

A:

Q: F(x)=4x^4-3x^3+8x-9 Divided by x-1 What is the remainder? Is x-1 a factor of the equation?

A:

Q: find a real root of the equation x-4x-9 0

A: Let f(x)=x3-4x-9 Substitute x=1,2,3 one by one in the function to obtain the corresponding values of…

Q: Solve for x (х+3)^2 О х^2 + 3x + 2 О 2х^2 + 3x + 2 О х^2 + 6х + 2 О х^2 + 6х + 9

A:

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: solve y′′′′+ 3y′′−4y = t^2

A: Given differential equation is yIV+3y''−4y=t2. We have to find the solution of the given…

Q: x^(3)-4x^(2)+8=0 factor: (x-2) You will need place holders:

A: see below the answer and calculation

Q: (x^(2)-4y)/(2) x=4 y=-3

A:

Q: x' fx -5-0

A:

Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: f(x)= 3(x+5)^2-1; (-4,2)  what's the axis of symmetry

A: Solution: For a quadratic function in a standard form ax2+bx+c The axis of symmetry is a vertical…

Q: x' - 5x = 6x ,2

A: x3-5x2=6x. To solve for x by factoring, first we will factorise this cubic polynomial.

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: How to solve this equation y''' - 8y" + 4y' +48= 4x2+1 using Method of Undetermined Coefficient.

A: Given differential equation is   y'''-8y''+4y'+48y=4x2+1 Associated homogeneous differential…