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1.8.11 Differential equations with separable variables (A-level only)

1.8.11 Differential equations with separable variables (A-level only)

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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]
Markscheme

1.8.11 Differential equations with separable variables (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.8.11 Differential equations with separable variables (A-level only)

34 exam-style questions on OCR A Level Maths 1.8.11 Differential equations with separable variables (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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