EasyCalculusca-065

ODE Separation Solution Value

Problem

Solve the separable ODE y' = k*y with y(0) = y0 and evaluate the solution at x.

Separating variables gives y(x) = y0 * e^(k*x). Use the given initial value y0.

Hint

Integrate dy / y = k dx and exponentiate both sides.

case 1

in: [1,1,0]

expected: 1

case 2

in: [2,0,5]

expected: 2

case 3

in: [1,-1,1]

expected: 0.36787944117144233

case 4

in: [3,2,0.5]

expected: 8.154845485377136

case 5

in: [0,5,3]

expected: 0

Starter codePython

def separation_value(y0, k, x):
    # Your code here
    pass

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