Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = xa using the following values. 0 4 80 1 4t 8t + 6t2 32t2 + 8t3 0 0 3 8 0 1 3t 8t + 6t2 f(t) = 90 x(0) = t e At 0 0 A = 0 0 0 4 1 4t 0 0 0 0 0 0 1 o o o

Q: If f(t) = 7t3 – 10t2 + 8t – 4, find f'(t) and f"(t). f'(t) = f"(t) =

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Q: Need heip in business calculus. Stumped on this problem and JOlve it. I am do n't Know how to theo…

A: (a)  Use the values where the second derivative is zero to set up intervals. Substitute a value into…

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Q: If f(x) = 1+/x, then f'(x) = -1 A 4/xV1+/x 1 B 4V1+x 1 4/x/1+Jx 1

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Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

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Q: if x(t) = tsin(3t) is a particular solution to the equation x" + qx = cost3t, then q = -9. Is that…

A: The given differential equation is: x''+qx= cos t (3t) From the hypothesis, x(t)=t sin (3t) is the…

Q: Find the third derivative of f(x) = 3√x³-5cosx. 45 O f(x)= 4553 9 O f(x)= - O f(x)= 45 O f(x)= - 9…

A: It can be written as f(x)=3x3/4-5Cos(x)

Q: Find a particular solution to the following first by undertermined coficients,and then by variation…

A: Step 1: To find a particular solution to the given differential equation using the method of…

Q: If f(x) = =√(t³3 + 3t² + 6) dt then f"(x) =

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Q: Suppose that we need to find the solution of y" = y², y(a) = 0, y(b) = 2 by finite difference…

A: This question is about application of numbers theory

Q: 1. Find the function f(x) if f'(x) = 3x² – 2.x +5 and f(0) = 5 %3D

A: Given, f'x=3x2-2x+5f0=5 To find, The function f(x).

Q: The derivative of y= (V x - 2 )(Vx+1) is equal to: х - 1 A 2x+1/x-2 2х-1 B Jx+1/x=2 2х-2 2/x+1/x-2 D…

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Q: Show human working correctly please

A: To find f'(1), we need to differentiate the given function f(p) with respect to p and then evaluate…

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: Find a particular solution to the following first by undertermined coficients and then by variation…

A: please note that: It is xII(t) not xn(t) & it is  2II(t) not 2n(t)

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Q: 6. Determine the highest root of f(x)=2x- 11x² + 17.5x −5 with E<0.001% using following methods: (a)…

A: As I can see, you have posted the wrong equation. I assume you missed the cubic term, and all the…

Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

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Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: find f'(t) and f"(t).

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Q: If f(x) = then f"(x) = = X √ ² ( 2³ + (t³ + 4t² + 5) dt 0 ←

A: Let,Using integration formula So,If  dtPut , dt = F(t)Then So,

Q: 1 (d) Last week, Amy walked a median of 7.5 kilometres each day. 1 kilometre = 0.6 miles The table…

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Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5'…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.