Given the initial value problem dydx Inxy y1 3 Use Euler m

Given the initial value problem dy/dx = In(xy), y(1) = 3 Use Euler method with 4 steps to find an approximate value for y(2).

Solution

Eulers method
y(x+h)=y(x)+hdy/dx here h=.25
y(1.25)=3+.25ln(1*3)=3.27
y(1.5)=3.27+.25ln(3.27*1.25)=3.62
y(1.75)=3.62+.25ln(3.62*1.5)=4.05
y(2)=4.05+.25ln(4.05*1.75)=4.54
y(2)=4.54 which is required answer
hope you got it :)