Quick questions on Differential equations: VCE Specialist Mathematics Unit 4

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Solve

\frac{\mathrm{d}y}{\mathrm{d}x} = \cos x

with

y(0) = 2

. [2 marks]

What is q2?

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Solve

\frac{\mathrm{d}y}{\mathrm{d}x} = 2xy

with

y(0) = 1

y > 0

. [3 marks]

What is q3?

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A tank's water height satisfies

\frac{\mathrm{d}h}{\mathrm{d}t} = -3

with

h(0) = 12

. When is the tank empty? [2 marks]

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