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dy/dx = ay + b with an initial value

This type of question, asked 5 times: 16 May 2023 S1, 10 May 2024 S1, 12 May 2024 S1, 13 Apr 2026 S1, 12 May 2026 S2. All 5 questions below, oldest first.

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  1. Question 1

    16 May 2023 S1

    143
    If dydx=y+3,  y+3>0\frac{dy}{dx} = y+3,\; y+3 > 0 and y(0)=2y(0)=2, then y(log⁡2)y(\log 2) is equal to

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  2. Question 2

    10 May 2024 S1

    121
    dPdt=0.5P−450\frac{dP}{dt}=0.5P-450, P(0)=850. Time when P=0 is

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  3. Question 3

    12 May 2024 S1

    132
    If dydx=y+3\frac{dy}{dx}=y+3 and y(0)=2y(0)=2, then y(log⁡2)=y(\log2)=

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  4. Question 4

    13 Apr 2026 S1

    83
    If dydx=y+5\dfrac{dy}{dx} = y + 5 and y(0)=4y(0) = 4 then y(log⁡2)y(\log 2) is equal to

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  5. Question 5

    12 May 2026 S2

    85
    If dydx=y+3\dfrac{dy}{dx} = y + 3, where y+3>0y + 3 > 0 and y(0)=2y(0) = 2, then y(log⁡2)y(\log 2) is equal to...

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