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11.10 Solving Differential Equations

Question 11

Find $dx\int x^2 \cos 3x \, dx$

[4]

A spherical weather balloon's volume, $V$ m $^3$ , changes over time $t$ seconds during a specific atmospheric test. The rate of change is modeled by the differential equation

\frac{dV}{dt} = \frac{(t \cos 1.5t)^2}{V^2}

where $\ge 0$ . Solve this differential equation to find $V$ in terms of $t$ , giving your answer in the form $V^n = f(t)$ where $n$ is an integer.

[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

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Question 11

Find $dx\int x^2 \cos 3x \, dx$

[4]

A spherical weather balloon's volume, $V$ m $^3$ , changes over time $t$ seconds during a specific atmospheric test. The rate of change is modeled by the differential equation

\frac{dV}{dt} = \frac{(t \cos 1.5t)^2}{V^2}

where $\ge 0$ . Solve this differential equation to find $V$ in terms of $t$ , giving your answer in the form $V^n = f(t)$ where $n$ is an integer.

[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.