Dy/dx=x+y

Dy/dx=x+y

Input interpretation
(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))

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