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11.10 Solving Differential Equations

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Question 2
a.

Find ∫x2sin⁡2x dx\int x^2 \sin 2x \, dx∫x2sin2xdx

[3]
b.

Hence solve the differential equation

dydt=(tsin⁡ty)2 \frac{dy}{dt} = \left(\frac{t \sin t}{y}\right)^2 dtdy​=(ytsint​)2

giving your answer in the form yn=f(t)y^n = f(t)yn=f(t) where nnn is an integer.

[6]

11.10 Solving Differential Equations Questions

  1. A Level
  2. /Maths
  3. /11.10 Solving Differential Equations

Practise Edexcel A Level Maths 11.10 Solving Differential Equations with exam-style questions for A Level Maths. 35 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank