Differential Equations
Ordinary Differential Equations
solve a linear ordinary differential equation
y'' + y = 0
specify initial values
y'' + y = 0, y(0)=2, y'(0)=1
solve an inhomogeneous equation
y''(t) + y(t) = sin t
solve an equation involving a parameter
y'(t) = a t y(t)
solve a nonlinear equation
f'(t) = f(t)^2 + 1
find differential equations satisfied by a given function
differential equations sin 2x
differential equations J_2(x)
plot a Bessel function
plot J2(x)
integrate a spherical Bessel function
integrate spherical Bessel j3(x)
Spheroidal Functions
evaluate S1 numerically
Spheroidal S1(1,0,2.5,1)