EasyCalculusca-019

Euler Method One Step

Problem

Take one explicit Euler step for the ODE y' = a * y + b * t.

Given the current state (y, t) and step size dt, return y + dt * (a * y + b * t).

Hint

Evaluate the right-hand side at the current point and add dt times that slope.

case 1

in: [1,0,0.1,1,0]

expected: 1.1

case 2

in: [2,1,0.5,0,1]

expected: 2.5

case 3

in: [0,1,1,5,3]

expected: 3

case 4

in: [-1,2,0.25,-2,1]

expected: 0

Starter codePython

def euler_step(y, t, dt, a, b):
    # Your code here
    pass

4 test cases · run your code against them in the editor