Calculator Ordinary Differential Equations (ODE) and Systems of ODEs

Order of derivatives is indicated by primes — y''' or by a number after a single prime — y'5

The input recognizes various synonyms for functions such as asin, arsin, arcsin, sin^-1

Multiplication signs and parentheses are automatically added, so an entry like 2sinx is equivalent to 2*sin(x)

List of mathematical 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) — e to the power of x

• conj(z) — \(\overline{z}\)

• a+b — \(a+b\)

• a-b — \(a-b\)

• a*b — \(a\cdot b\)

• a/b — \(\dfrac{a}{b}\)

• a^b, pow(a,b) — \(a^b\)

• sqrt7(x) — \(\sqrt[7]{x}\)

• sqrt(n,x) — \(\sqrt[n]{x}\)

• lg(x) — \(\log_{10}\left(x\right)\)

• log3(x) — \(\log_3\left(x\right)\)

• log(a,x) — \(\log_a\left(x\right)\)

• ln^2(x), ln(x)^2 — \(\ln^2\left(x\right)\)

• y''', y'3 — \(y'''\)

• d^2y/dx^2, d2y/dx2 — \(\dfrac{\mathrm{d}^2y}{\mathrm{d}x^2}\)

• lambda — \(\lambda\)