A-Level Further Maths Edexcel (9FM0)

9: Differential equations

#9.1

Use an integrating factor to solve differential equations

Solve first-order differential equations by use of the integrating factor

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#9.2

General and particular solutions

Find a particular solution to a second-order differential equation

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#9.3

Use differential equations in modelling

Model kinematics with first-order differential equations

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#9.4

Solve differential equations using the auxiliary equation

Solve second-order homogeneous differential equations

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#9.5

Solve differential equations by using the complementary function

Solve second-order non-homogeneous differential equations

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#9.6

Discriminant of the auxiliary equation

Use discriminant of the auxiliary equation to determine the general solution

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#9.7

Solve the equation for simple harmonic motion

Model simple harmonic motion with second-order differential equations

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#9.8

Model damped oscillations using second-order differential equations

Model damped harmonic motion with second-order differential equations

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#9.9

Models using coupled first-order simultaneous equations

Solve coupled first-order simultaneous differential equations

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8

Hyperbolic functions

FP1.1

Further Trigonometry

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