Ordinary Differential Equations (ODE) and Systems Calculator

Derivative order is indicated by primes — y''' or by a number after a single prime — y'5

The input recognizes synonyms for functions, such asasin, arsin, arcsin, sin^-1

Multiplication signs and parentheses are automatically added, for example2sinxbecomes2*sin(x)

Supported functions and constants:

•d(x), dy — differential

•ln(x) — natural logarithm

•sin(x) — sine

•cos(x) — cosine

•tan(x) — tangent

•cot(x) — cotangent

•arcsin(x) — arcsine

•arccos(x) — arccosine

•arctan(x) — arctangent

•arccot(x) — arccotangent

•sinh(x) — hyperbolic sine

•cosh(x) — hyperbolic cosine

•tanh(x) — hyperbolic tangent

•coth(x) — hyperbolic cotangent

•sech(x) — hyperbolic secant

•csch(x) — hyperbolic cosecant

•arsinh(x) — inverse hyperbolic sine

•arcosh(x) — inverse hyperbolic cosine

•artanh(x) — inverse hyperbolic tangent

•arcoth(x) — inverse hyperbolic cotangent

•sec(x) — secant

•csc(x) — cosecant

•arcsec(x) — arcsecant

•arccsc(x) — arccosecant

•arsech(x) — inverse hyperbolic secant

•arcsch(x) — inverse hyperbolic cosecant

•|x|, abs(x) — absolute value

•sqrt(x), root(x) — square root

•exp(x) —

•a+b —

•a-b —

•a*b —

•a/b —

•a^b, a**b —

•sqrt7(x) —

•sqrt(n,x) —

•lg(x) —

•log3(x) —

•log(a,x) —

•ln^2(x), ln(x)^2 —

•y''', y'3 —

•d^2y/dx^2, d2y/dx2 —

•pi —

alpha —

beta —

•sigma —

gamma —

nu —

•mu —

phi —

psi —

•tau —

eta —

rho —

•a123 —

x_n —

mu11 —