smc-1197-20-Differential Equations

Calculus, EXT1 C3 2024 SPEC2 7 MC

A solution to the differential equation

can be found using

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Calculus, EXT1 C3 2024 HSC 14a

Find the domain and range of the function that is the solution to the differential equation

and whose graph passes through the origin. (4 marks)

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♦ Mean mark 52%.

Calculus, EXT1 C3 2024 HSC 11d

Solve the differential equation , given . Express your answer in the form . (2 marks)

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Calculus, EXT1 C3 2022 HSC 14a

Find the particular solution to the differential equation that passes through the point . (4 marks)

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♦ Mean mark 43%.

Calculus, EXT1 C3 2022 HSC 10 MC

Which of the following could be the graph of a solution to the differential equation

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♦♦♦ Mean mark 27%.

Calculus, EXT1 C3 2021 HSC 4 MC

Consider the differential equation .

Which of the following equations best represents this relationship between and ?

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Calculus, EXT1 C3 2020 HSC 12e

Find the curve which satisfies the differential equation and passes through the point . (3 marks)

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COMMENT: Note the answer requires a curve equation, not a function.

Calculus, EXT1 C3 2020 HSC 11e

Solve , finding as a function of . (2 marks)

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Calculus, EXT1 C3 2016 SPEC1 10

Solve the differential equation , given that . Express as a function of . (4 marks)

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♦ Mean mark 46%.

Calculus, EXT1 C3 2017 SPEC1-N 7

Let .

Express in terms of , where . (3 marks)

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Calculus, EXT1 C3 2017 SPEC2-N 10 MC

A solution to the differential equation can be obtained from

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Calculus, EXT1 C3 2018 SPEC2 9 MC

A solution to the differential equation can be obtained from

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Calculus, EXT1 C3 2015 SPEC2 12

Find given and when . (2 marks)

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