Solve the initial value problem y'' + 2y' + 26y = y(t) √ 2 2 ≤ t < 3 [0 t≥ 3 or t< 2 ' Give the solution for 2 < t < 3. y(0) = y'(0) = 0

Q: a = &lt; x, y, 1 &gt;b = &lt; 1, -1, 3 &gt;|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: 3y = /2y – 1, y(1) = 1. ) Find the solution y = y(x) of this IVP. Please present your solution y =…

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Q: max value for y

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Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: 3.- Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) =…

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Q: Find the equation of the line tangent to the graph of the indicated composite function at the…

A: Since there are multiple questions posted, we will answer the first question 13. Ir you want the…

Q: 2. Identify the iterative function f(x) = x3 – 9x2 – 6 if initial approximation x, = 2.25

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Q: 4. Suppose the following functions are a general solution of: y(4) + a3y/" + azy" + a;y' + a0y = 0

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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…

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A: We have to find the value of x(t) and y(t).

Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: Solve u' (t) + u(t) = 5 subject to u (2) = -2. 85 Provide an exact expression (i.e. no decimal…

A: Question - solve u'(t) + u(t) = 5 subject to u(2)=-2

Q: at x+v11(t-s) 1 (e)ªdyds 2/11 x-/11(t-s)

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Q: 3. If f(1)=10 and f'(x) ≥ 3 for all 1 ≤ x ≤ 5, how small can f(5) possible be?

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Q: Let f(x) = x^3 − x − 1 and x0 = 1.1, x1 = 1.2, x2 = 1.3 be approximations to a solution of f(x) = 0.…

A: By Muller's method, x3= 1.3249

Q: 9x²– e 2x Given by a function of x is equal to v1 – cos²x + 0. find the roots of equation with…

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Q: The general solution to: y'' – y' + 4y = 0 %3D is: y(x) = %3D Typle c_1 and c_2 to get c1 and c2 and…

A: We have to find the solution

Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: Let y(t) be the solution to y˙=5te^(-y)˙ satisfying y(0)=−3  (a) Use Euler's Method with time step…

A: Euler's method is a technique for numerical differentiation in which we compute the approximation of…

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: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

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Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

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