Use the Laplace transform to solve x(4) + 13x" + 36x: = 0 (3) given initial conditions x(0) = 0, x'(0) = 2, x" (0) = 0, and x (0) = -13

Q: æ' + x = 2+ 8(t – 1), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} = help…

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Q: Find the differential quotient of the following functions: a) f(x)=5x–2 b) f(x)=x2 +3 c)…

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Q: Calculate g(4) and g'(4) where g(x) is the inverse of f(x) = (x² + 6x)¹/² in the domain x ≥ 0. g(4)=…

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Q: Solve the given initial-value problem using the Laplace transform: -{- = x(0) = 5. x' + 3x if 0<t<4…

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Q: - y"+10y'+25y=0y(0)=0_y"(0) = 10

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find the derivative of f(x) = log, (x° + x – 1). %3D 2 + x - 1 f (2) = %3D (3z* + 1) (In 2) (3z +1)…

A: Given:     fx=log2x3+x-1

Q: Find the differential of the following function: a) f(x) = x (2x³ + 9x)5 2t b) f(t) = (₁²₂)4 1-t2

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Q: a' +x = 6+ 8(t – 4), x(0) = 0. Find the Laplace transform of the solution. X(s) = L {x(t)} = help…

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Q: Given function G(x)= 3√2t² - 2 dt. Which V one of the following is true? A) G(3) <G'(3) <G"(3) B)…

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Q: 2- Solve the fractal differential equation Day + y = 5e²x With a = a = and and y(0) = 1, Using…

A: Given Fractal Differential Equation:  Where ​ and .Objective: To solve the given fractal…

Q: 2x 1) Calculate the derivative of h(x) = √√e²x +e-²x

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Q: 2. Use chain rule to find the derivative of the following functions (Hint: for function composed…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: [2.] Solve the IVP yu+ 6y'+9y= e-*cos 2x COS2X t. Fed the Laolace transform

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