ODE: y′ + f(x)⋅y = g(x)
The solution of the differential equation is solved numerically. The method can be selected. Three Runge-Kutta methods are available: Heun, Euler and RK4. The initial value can be varied by dragging the red point on the solution curve. In the input fields for f and g, up to three parameters a, b and c are used which can be varied by means of the slider in the graphics.
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ln |
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Constants
| Name | Description |
|---|---|
| LN2 | Natural logarithm of 2 |
| LN10 | Natural logarithm of 10 |
| LOG2E | Base 2 logarithm of EULER |
| LOG10E | Base 10 logarithm of EULER |
| PI | Ratio of the circumference of a circle to its diameter |
| SQRT1_2 | Square root of 1/2 |
| SQRT2 | Square root of 2 |
Trigonometric Functions
| Function | Description |
|---|---|
| sin(x) | sine of x |
| cos(x) | Cosine of x |
| tan(x) | Tangent of x |
| asin(x) | arcsine |
| acos(x) | arccosine of x |
| atan(x) | arctangent of x |
| atan2(y, x) | Returns the arctangent of the quotient of its arguments. |
| cosh(x) | Hyperbolic cosine of x |
| sinh(x) | Hyperbolic sine of x |
Logarithm and Exponential
| Function | Description |
|---|---|
| pow(b, e) | e to the b |
| sqrt(x) | Square root of x |
| exp(x) | EULER to the x |
| log(x), ln(x) | Natural logarithm |
| log(x, b) | Logarithm to base b |
| log2(x), lb(x) | Logarithm to base 2 |
| log10(x), ld(x) | Logarithm to base 10 |
More functions
| Function | Description |
|---|---|
| ceil(x) | Get smallest integer n with n > x. |
| abs(x) | Absolute value of x |
| max(a, b, c, ...) | Maximum value of all given values. |
| min(a, b, c, ...) | Minimum value of all given values. |
| random(max = 1) | Generate a random number between 0 and max. |
| round(v) | Returns the value of a number rounded to the nearest integer. |
| floor(x) | Returns the biggest integer n with n < x. |
| factorial(n) | Calculates n! |
| trunc(v, p = 0) | Truncate v after the p-th decimal. |
| V(s) | Returns the value of the given element, e.g. sliders and angles. |
Here is a list of of further useful calculators:
Index Derivative calculus Partial derivatives and gradient Differential equations Exponential growth Logistic growth ODE first order General first order ODE ODE second order ODE-System 2x2 ODE-System 3x3 Gradient 2d Plot Function Plot