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Calculator Ordinary Differential Equations (ODE) and Systems of ODEs

Calculator applies methods to solve: separable, homogeneous, first-order linear, Bernoulli, Riccati, exact, inexact, inhomogeneous, with constant coefficients, Cauchy–Euler and systems — differential equations. Without or with initial conditions (Cauchy problem)
Solve for
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f ()
System
System
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Maximum derivative of initial conditions = 4
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Order of derivatives is indicated by primesy''' or by a number after a single primey'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), dydifferential

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 — \(\lambda\)

pi — \(\pi\)
alpha — \(\alpha\)
beta — \(\beta\)
sigma — \(\sigma\)
gamma — \(\gamma\)
nu — \(\nu\)
mu — \(\mu\)
phi — \(\phi\)
psi — \(\psi\)
tau — \(\tau\)
eta — \(\eta\)
rho — \(\rho\)
a123 — \(a_{123}\)
x_n — \(x_{n}\)
mu11 — \(\mu_{11}\)
<= — \(\leq\)
>= — \(\geq\)
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Solving the problem..
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C =
x=0, y=0
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\(y=f(x,\,C)\)
Values
\(x =\)
\(f(x) =\)
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