Second order differential equations: The inhomogeneous case: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+4y'+3y=12e^{-1x},\ y(0)=10,\ y'(0)=11\). Write \(y=(A+Px)e^{-1x}+Be^{-3x}\).
Find P.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+6y'+8y=13e^{-2x},\ y(0)=11,\ y'(0)=12\). Write \(y=(A+Px)e^{-2x}+Be^{-4x}\).
Find P.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+6y'+8y=13e^{-2x},\ y(0)=11,\ y'(0)=12\). Write \(y=(A+Px)e^{-2x}+Be^{-4x}\).
Find A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+8y'+15y=14e^{-3x},\ y(0)=12,\ y'(0)=13\). Write \(y=(A+Px)e^{-3x}+Be^{-5x}\).
Find A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+8y'+15y=14e^{-3x},\ y(0)=12,\ y'(0)=13\). Write \(y=(A+Px)e^{-3x}+Be^{-5x}\).
Find B.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+4y'+3y=15e^{-1x},\ y(0)=13,\ y'(0)=14\). Write \(y=(A+Px)e^{-1x}+Be^{-3x}\).
Find B.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+4y'+3y=15e^{-1x},\ y(0)=13,\ y'(0)=14\). Write \(y=(A+Px)e^{-1x}+Be^{-3x}\).
Find y(1).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Second order differential equations: The inhomogeneous case: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(y''+6y'+8y=16e^{-2x},\ y(0)=14,\ y'(0)=15\). Write \(y=(A+Px)e^{-2x}+Be^{-4x}\).
Find y(1).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.