Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

FPM 4PM1 topics

  • 1. Surds and Logarithmic Functions42
  • 2. The Quadratic Function34
  • 3. Inequalities and Identities14
  • 4. Sketching Polynomials15
  • 5. Sequences and Series31
  • 6. The Binomial Series15
  • 7. Scalar and Vector Quantities22
  • 8. Rectangular Cartesian Coordinates29
  • 9. Differentiation69
  • 10. Integration29
  • 11. Trigonometry67

Study tools

  • FPM 4PM1 overview
Further Pure Mathematics 4PM1 / Differentiation / 1.19

1.19: Verify a second-order differential equation

4PM1/2R/November/2020 — Question 9 · 8 marks

·
Given that
x=e−tsin 2t,x=\mathrm{e}^{-t}\mathrm{sin}\,2t,x=e−tsin2t,
show that
d2xdt2+2dxdt+5x=0.\frac{\mathrm{d}^2x}{\mathrm{d}t^2}+2\frac{\mathrm{d}x}{\mathrm{d}t}+5x=0.dt2d2x​+2dtdx​+5x=0.
(8)
← 1.18: 4PM1/2/November/2020 — Question 11.56: 4PM1/1/June/2019 — Question 6 →
Target Mathematics · Topic questions and official mark schemes