A Level Further Maths Core Pure Year 2 Chapter 7: Mini test

Vocab check

• integrating fac., auxillary eqn., complementary func., particular int.
• integrating func., auxillary eqn., complementary fac., particular int.
• integrating fac., auxillary func., complementary eqn., particular int.
• integrating int., auxillary eqn., complementary fac., particular func.

Which FODE is in the "correct" format?

• P dy/dx + Qy = 1

• dy/dx + y = 1

• 3 dy/dx + 3y = 3

• x dy/dx + x²y = x

Solve d²y/dx² - 5 dy/dx + 6 = 0

• Ae^3x + Be^2x

• Ae^-3x + Be^-2x

• Ae^-6x + Be^x

• Ae^6x + Be^-x

Auxiliary equation: b² - 4ac = 0.

• (A + Bx) e^mx

• e^mx
• Ae^mx + Be^-mx

• A sin mx + B cos mx

Which is the worst to solve?

• 
• 
• 
•