Calculator first order differential equation

Differential equation y'+xy=ax

y(x)+xy(x)=ax

The general solution of the first order differential equation is:

y(x)=a(ke-x22+1)

with the constant k and the initial values x0, y0:

k=ex022(y0a-1)

Calculator for the initial value problem: y'+xy=ax with the initial values x0, y0

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Initial values

x0=
y0=

Parameter value

a=

Axes ranges

x-min=
x-max=
y-min=
y-max=

Parameter ranges

a-min=
a-max=

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