Let Ур be the particular solution to the nonhomogeneous ODE. Choose a suitable trial solution, of similar form to 10 sin (9 t), then solve for the unknown coefficients.

Q: Find y' if 8√√xy + 6x = 3y. 4y+ 6√√xy+4x 3√xy O 3√√xy-4y 4x 4x-3√√xy 6√√xy+4y 4y+6√/ay 3.√√xy-4x O…

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Q: 5) Find the derivative of each of the following functions. a) f(x) = (3x- 6x - 7) %3D b) g(t) = V4t-…

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Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx

Q: Let f(x, y) = 5e*" and c(t) = (2r², r³). Calculate (f • c)(t). Use the first special case of the…

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Q: h" (t) = sec? t – Vt, h(0) = -3, and h'(0) = 3. %3D

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Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find…

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Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: a) x³ - x f (x) = 2x² + x − 1 - b) f(x) = ax + b cx - d

A: Here we have to evaluate for a) and b) the value of f'(x).

Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find Solution of Homogeneous linear ODE s (D°, 60 +131 Jy

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Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: Find G′(w) if G(w)=3/8w^6+6^4*squareroot of w

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Q: Letr' (t) = (3 + 4t, cos(t), 6e³t) and 7(0) = (7, 2, 5). Determine r* (t). r(t) = ([ (..)

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