Solve for the power series solution of the given differential equation. (x² − 1)y" + (x + 1)y' - y = 0

Q: 21 40 JJJ. 7yz cos(10x5) dv, where E = sin (2) X = {(x, y, z) | 0 ≤ x ≤ 1,0 ≤ y ≤ x, x ≤ z ≤ 2x}

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Q: Consider the differential equation (x³ - 4x) y" + 2021xy - 1999y = 0 (a) Find all singular points of…

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Q: x1 + x2 + x3 = 2 20x1 + 2x2 - x3 = 25 2x1 + 13x2 - 2x3 = 30 Linear algebraic equation set x1 (0)…

A: Given x1+x2+x3=220x1+2x2-x3=25  2x1+13x2-2x3=30 and x10=x20=x30=0

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Q: a) z=cos² (3 xy) onde x=p+eº ey=p²-2e³8 b) z=4x³y onde x=3p²+0² e y=p²-40²

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Q: Consider the differential equation (x³ - 4x) y" +2021xy - 1999y = 0 (a) Find all singular points of…

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Q: (c) Find the remainder of 9045142161 on division by 247 using Euler's Theorem. [Hint: 247 = 13 x…

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Q: = 20 by Find the volume of the solid region V inside the cylinder x² + y² = 16 and inside the sphere…

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Q: Consider the initial value problem x(t) = X₁ = v1 = dx dt (a) Find the eigenvalues and eigenvectors…

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Q: 25. Solve(1 Point) L-1 3s+16 s²-s-6 O4e³t - 3e-2t 3e³t-4e-2t O5e²t - 2e-3t O 5e³t - 2e-2r…

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Q: Q.4 Use the one sided Greens function to solve the I.VP. -1 4t2y" +8ty' + y = 3t 2 Int2, y(1)=0,…

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Q: 3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring.

A: Given function is y=2x2+7x-10 we can write it as y=x(2x+7)-10