Find the particular solution of the ODE in this form: y" + 11 y = 19 e*, with initial conditions y(0) = 1.8 and y' (0) = 3.4. What is the value of y at x = 5 ?

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Q: 2) A function is given by 00 x* e=*dx. *e*dx. h(k) 00 Its values may be found in tables. Make the…

A: Recall that the Gamma function is an alternate form for defining the factorial notation. Gamma…

Q: Assume f(3) = 0, f'(3) = 6, g(3) = 1, and g'(3) = 3 f(x) g(x)* Find h'(3) given h(x) = A. -2 B. 2/2…

A: Given,

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: How can y = e-x for x >= 0 (and only for x >= 0) be sketched?

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Q: 1. Which of the following is equivalent to y= log, x ? (1) y = x' (3) x= 7" (2) x = y' (4) y = x%

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Q: find y' (xy)x = e

A: Given problem:- find y'   (xy)x = e

Q: Given f (10) = 4 and f '(10) 8 find the value of h'(10) based on the function below. h(x) = (f(x))³

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Q: + 4x" + 4х 3D0.

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Q: 2) Solve for the general solution of the given ODE. +ye 2ze?! where x #0

A: To solve the given ordinary differential equation.

Q: Identify f(x) to be used in variation of parameters to solve for y, e" y" + y' – 3y = x

A: To find f(x) write equation in form of y" + P y' +Q y = f(x).

Q: What is the solution of the given ODE xy' + y = Vx

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Q: 9y" + 25y = 0; y(37/10) = 0, y'(3x/10) = 3. %3D O a. y3-cos(음) O b. y = c cos(x) + cz sin() Oc…

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Q: If o(E) = 1:7, find o(E').

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Q: How did E(XY) = E(X)E(Y) if it is not stated that they are independent

A: As per the question we have to show that for uncorrelated random variables X, Y the following…

Q: IMPLICIT FUNCTIONS, CHAIN RULE AND HIGHER DERIVATIVES 2. Solve for y' and y". b. Va - V5 = 1

A: x-y=1 Differentiating with respect to x, we get ⇒dx-ydx=d1dx⇒12x-12y·y'=0     ∵dxdx=12x  &…

Q: At time t = 0, a storage tank is empty and begins filling with water. For t > 0 hours, the depth of…

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Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

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Q: do - k· (0 – 10), dt where k is a constant. If the temperature of the body is initially 70°C and 10…

A: Given: The differential equation is dθdt=-kθ-10, where k is a constant. Initial temperature: θ0=70°C…

Q: Solve y" + 2y + 2y = e cos(x) with y(0) = y'(0) = 1.

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Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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Q: Find the first and second derivatives of the function. 16 L(t) = 1+2.leS L'()=-16(1+2.1*)*(2.10*)…

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