The general solution for Legendre equation (9 - z)y" – 2zy' + n(n + 1)y = 0 is O y(z) = c,Y1(1/3) + c2y2(x/3) O y(1) = c¡Y1(z²/3) + c2Yz(z²/3) O y(x) = c¡Y1(3z) + c2Y2(3r) O y(x) – c1y1(3x²) + c2¥2(3x²) O none

Q: (b) -x X x + y y - 4y + 2z = - - (x, y, z) = 10 Z = 2 z = 1

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Q: Find the solution of 4x²y" – 6x²y' + y = 0, x > 0 %3D of the form Y1 = r"(1+ c,x + czx² + czx³ + • ·…

A:

Q: (D³ - 3D - 2)y =0; when x =0, y=0, y' = 9, y" = 0. A y = (-1+ 2x)e²"+2e=x B y = (-1+ 2x)e-2r+e2r C y…

A: Given differential equation is (D3-3D-2)y = 0 with x=0,y=0,y'=9,y''=0.

Q: (c)2a) (c)(n)(z)(z) = e/(a) (c)(K)(z)) ¹/2 (b)(y) (6)(x) (y) Solve for K [(g) (m) (f)(K)

A: We have to solve for k.

Q: Find the general solution of (1) yV – 2y" + y" = 24x² + 12x +8

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.