First order differential equations: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+3y=13e^{4x},\ y(0)=14\). Write the solution as \(y=Ce^{-3x}+Ke^{4x}\).
Find K.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+1y=14e^{1x},\ y(0)=15\). Write the solution as \(y=Ce^{-1x}+Ke^{1x}\).
Find K.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+1y=14e^{1x},\ y(0)=15\). Write the solution as \(y=Ce^{-1x}+Ke^{1x}\).
Find C.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+2y=15e^{2x},\ y(0)=16\). Write the solution as \(y=Ce^{-2x}+Ke^{2x}\).
Find C.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+2y=15e^{2x},\ y(0)=16\). Write the solution as \(y=Ce^{-2x}+Ke^{2x}\).
Find y(1).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+3y=16e^{3x},\ y(0)=17\). Write the solution as \(y=Ce^{-3x}+Ke^{3x}\).
Find y(1).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+3y=16e^{3x},\ y(0)=17\). Write the solution as \(y=Ce^{-3x}+Ke^{3x}\).
Find y′(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
First order differential equations: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(y'+1y=17e^{4x},\ y(0)=18\). Write the solution as \(y=Ce^{-1x}+Ke^{4x}\).
Find y′(0).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.