Evaluate
Find the Fourier transform of f(x) = k if a < x < b , f(x) = 0 otherwise.
Find the eigenvalues and eigenfunctions.
y''+λ y = 0 , y(0) + y'(0) = 0 , y(2π ) = 0
Find the area if the vertices are (3,9,8), (0,5,1), (−1,−3,−3) , (2,1, 4) .
Solve the initial value problem by the Laplace transform.
y1'' = −2y1 + 2y2 , y2''= 2y1 − 5y2 ,
y1(0) = 1, y1'(0) = 0 , y2 (0) = 3 , y2'(0) = 0
Find the electrostatic potential v = v(r) between two concentric spheres of radii
r1 = 10 cm and r2 = 20 cm kept at potentials v1 = 260 V and v2 = 110 V,
respectively.
Find a general solution.
y1'= 3y2 + 6t
y2' = 12y1 +1
Solve by Laplace transform
可觀看題目詳解,並提供模擬測驗!(免費會員無法觀看研究所試題解答)