Differential Equations Answers

solve d^2u/dx^2 +d^2u/dy^2 = 0 which satisfies u (0,y) = u (l,y) = u (x, 0) =0 & u(x,a)= sin nπx/L

Find a powe series solution of the initial-value problem.
(x^2 + 1)*y''(x) + x*y'(x) + x*y(x) = 0, y(0) = 3, y'(0) = -1

Find a powe series solution in powers of x - 1 of the initial-value problem.
x*y''(x) + y'(x) + 2*y(x) = 0, y(1) = 2, y'(1) = 4

Find a powe series solution of the initial-value problem.
(x^3 - 1)*y''(x) + (x^2)*y'(x) + x*y(x) = 0, y(0) = 2, y'(0) = 1

Find a powe series solution of the initial-value problem.
(x^2 - 1)*y''(x) + 3x*y'(x) + x*y(x) = 0, y(0) = 4, y'(0) = 6

Find a power series solution in powers of x - 1 of the initial-value problem.
x*y''(x) + y'(x) + 2*y(x) = 0, y(1) = 2, y'(1) = 4

Find a powe series solution of the infinite-value problem.
(x^3 - 1)*y''(x) + (x^2)*y'(x) + x*y(x) = 0, y(0) = 2, y'(0) = 1

Find a powe series solution of the infinite-value problem.
(x^2 - 1)*y''(x) + 3x*y'(x) + x*y(x) = 0, y(0) = 4, y'(0) = 6

Find a power series solution in powers of x-1 of the initial-value problem.
xy''(x) + y'(x) + 2y(x) = 0, y(1) = 2, y'(1) = 4

(x^2 + 1)y''(x) + xy'(x) + xy(x) = 0, y(0) = 3, y'(0) = -1