Solving ODEs (solve_ivp) in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the function used to solve ODEs.

SciPy

from scipy.integrate import [1]

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Aode

Bodeint

Csolve_ivp

Dintegrate

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'odeint' which is an older function.

Trying to import 'integrate' instead of the function.

Using 'ode' which is a different class.

The solve_ivp function from scipy.integrate is used to solve initial value problems for ODEs.

2fill in blank

medium

Complete the code to define the ODE function for dy/dt = -2y.

SciPy

def ode_func(t, y):
    return [1] * y

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A-2

B-y

C2

Dy

Attempts:

3 left

💡 Hint

Common Mistakes

Returning just -y instead of -2*y.

Returning 2*y which changes the sign.

Returning y without multiplication.

The ODE is dy/dt = -2y, so the function returns -2 times y.

3fill in blank

hard

Fix the error in the solve_ivp call by filling the correct argument for the time span.

SciPy

solution = solve_ivp(ode_func, [1], [1], t_eval=[0, 1, 2])

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A(0, 2)

B[0, 2]

C[0, 1]

D(1, 2)

Attempts:

3 left

💡 Hint

Common Mistakes

Using a list instead of a tuple for t_span.

Using incorrect time intervals like (1, 2).

Using only one time point.

The t_span argument must be a tuple with start and end times, e.g., (0, 2).

4fill in blank

hard

Fill both blanks to create a dictionary of solution values at each time point.

SciPy

result = {t: y[1] for t, y in zip(solution.t, solution.[2])}

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A[0]

By

Dy_values

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'y' instead of 'y[0]' which is an array.

Using 'y_values' which is not a valid attribute.

Not indexing the solution array.

The solution values are stored in solution.y, which is an array. To get the value at the first variable, use y[0].

5fill in blank

hard

Fill all three blanks to solve dy/dt = -3y with initial value 5 over [0, 4] and get values at t=0,2,4.

SciPy

def f(t, y):
    return [1] * y

sol = solve_ivp(f, [2], [[3]], t_eval=[0, 2, 4])

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A-3

B(0, 4)

C5

D-2

Attempts:

3 left

💡 Hint

Common Mistakes

Using wrong coefficient like -2.

Using wrong time span like (0, 2).

Using wrong initial value.

The ODE is dy/dt = -3y, so return -3*y. The time span is (0, 4), and the initial value is 5.