dy dx + 3x²y = 6x²

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = n(1+x²).

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Q: = ²/²/²(e² + e^²³) 3. Obtain the Maclaurin series for cosh x using the fact that cosh x = -

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Q: Show that the substitution x=e, y=e converts the equation ди ди Hu д 2 02, +y2 +x ду2 дг +y 0 ду…

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Q: 3s+4 -s²+4s+5· a. e2t (3 cost - 2 sint) b.e-2t (3 sint 2 cost) c. e2t (3 sint - 2 cost) d.e-2t (3…

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Q: Find the solution of the given initial value problem. 6 y - y = cos t t-6, y(π) = 0, t> 0 t

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Q: 9. dy/dt = y²(y² - 1), -∞ < Yo <∞

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Q: Determine the Fourier Series of f(x) = x, over the interval - < x < and has period 2 ! f(x) = Зл 4…

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Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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Q: Solve the following initial value problem: dy dt - 3y + 21 y (0) = 10 y(t) =

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = ln(1 + x²).

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Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

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Q: Consider the system of equations x+2y+32 = 0 2−g=0 x + kz = 0. a) Calculate the determinant of the…

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