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11.10 Solving Differential Equations

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13

Question 3

Find $dx\int x^2 \cos 4x \, dx$

[4]

A satellite's distance $r$ from a planet is modeled by the differential equation

\frac{dr}{d\theta} = \frac{(\theta \sin 2\theta)^2}{r^2}

where $θ\theta$ is the angular displacement in radians.

Hence solve this differential equation to find an expression for $r^3$ in terms of $θ\theta$ .

[5]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

11.10 Solving Differential Equations

Question bank

11.10 Solving Differential Equations

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13

Question 3

Find $dx\int x^2 \cos 4x \, dx$

[4]

A satellite's distance $r$ from a planet is modeled by the differential equation

\frac{dr}{d\theta} = \frac{(\theta \sin 2\theta)^2}{r^2}

where $θ\theta$ is the angular displacement in radians.

Hence solve this differential equation to find an expression for $r^3$ in terms of $θ\theta$ .

[5]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.