Chapter 9: Further Pure 1: Reducible Differential Equations

A-level Further MathsFurther Pure 1 & 23 topicsHigher

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Further Pure 1: Reducible Differential Equations: Edexcel Further Maths Optional Long-Answer Questions

Examiner-style long-answer practice with automatic marking, improvement advice and ProofCoach tracking.

4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FP09-1 Find the required result for Further Pure 1: Reducible Differential Equations. Given Solve x

\dfrac{d^2y}{dx^2}

\dfrac{dy}{dx}

with y = 1 and

\dfrac{dy}{dx}

= 2 when x = 1. Use let p =

\dfrac{dy}{dx}

, reduce to a first-order separable equation and back-substitute. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksshow thathardEdexcel

FP09-2 Show that p = Cx and y =

Cx^{2}

/2 + D for Further Pure 1: Reducible Differential Equations. Start from Solve x

\dfrac{d^2y}{dx^2}

\dfrac{dy}{dx}

with y = 1 and

\dfrac{dy}{dx}

= 2 when x = 1. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FP09-3 Determine the requested value in this structured Further Pure 1: Reducible Differential Equations problem: use the initial conditions to find y explicitly. Use the same data: Solve x

\dfrac{d^2y}{dx^2}

\dfrac{dy}{dx}

with y = 1 and

\dfrac{dy}{dx}

= 2 when x = 1. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FP09-4 Hence use the result p = Cx and y =

Cx^{2}

/2 + D to complete the extension for Further Pure 1: Reducible Differential Equations: use the initial conditions to find y explicitly. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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8. Further Pure 1: Numerical Methods

10. Further Pure 2: Number Theory

Key learning objectives

Understand the key principles behind Further Pure 1: Reducible Differential Equations.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.