Differential Equation: y' =
to
to
Arrow Length:
Arrow Density:
0.9
Click anywhere to draw a solution curve
About
This tool visualizes direction fields and solution curves for first-order differential equations of the form \( y' = f(t,y) \).
Solution curves are computed using an adaptive Dormand-Prince 5(4) method, which automatically adjusts step size to maintain accuracy while remaining stable near singularities.
Click anywhere on the graph to trace a solution curve through that point. The arrows show the slope direction at each grid point.
Solution curves are computed using an adaptive Dormand-Prince 5(4) method, which automatically adjusts step size to maintain accuracy while remaining stable near singularities.
Click anywhere on the graph to trace a solution curve through that point. The arrows show the slope direction at each grid point.
Supported Functions
| sqrt(x) | $\sqrt{x}$ |
| cbrt(x) | $\sqrt[3]{x}$ |
| abs(x) | $|x|$ |
| sin(x) | $\sin x$ |
| cos(x) | $\cos x$ |
| tan(x) | $\tan x$ |
| asin(x) | $\arcsin x$ |
| acos(x) | $\arccos x$ |
| atan(x) | $\arctan x$ |
| sinh(x) | $\sinh x$ |
| cosh(x) | $\cosh x$ |
| tanh(x) | $\tanh x$ |
| exp(x) | $e^{x}$ |
| log(x) | $\ln x$ |
| log10(x) | $\log_{10} x$ |
| pi | $\pi$ |
| e | $e$ |
| ceil(x) | $\lceil x \rceil$ |
| floor(x) | $\lfloor x \rfloor$ |
| round(x) | $\operatorname{round}(x)$ |
| max(a,b) | $\max(a,b)$ |
| min(a,b) | $\min(a,b)$ |