Dy/dx=x+y
Input interpretation |
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(dy(x))/(dx) = x + y(x) |
d’Alembert’s equation |
y(x) = x (-1) + y'(x) |
ODE classification |
first-order linear ordinary differential equation |
Differential equation solution |
y(x) = c_1 e^x – x – 1 |
Plots of sample individual solution |
| | | | y(0) = 1 |
Sample solution family |
(sampling y(0)) |