Calculator Ordinary Differential Equations (ODE) and Systems of ODEs

Derivative order is indicated by strokes —y''' or a number after one stroke —y'5

Input recognizes various synonyms for functions like asin, arsin, arcsin, sin^-1

Multiplication sign and brackets are additionally placed - entry2sinx is similar to2*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) — modulus

•sqrt(x),root(x) — square root

•exp(x) — e to the power 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 — \(\lambda\)