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## Homework Statement

dy/dt=2y+3, y(0)=0.06, find y(1)= ?, Δt=0.1

## Homework Equations

y_k+1 = y_k + Δt*f(t_k, y_k)

## The Attempt at a Solution

y_1 = y_0 + Δt*f(t_0, y_0)

y_1 = 0.06 + 0.1*(2(0.06)+3)=0.372

y(1) = 0.372??

this doesn't seem right because I did this on excel and i got around a y(1)~4.00. the margin of error seems way to big. help!