dy/dx appears inside a function or power: solve for dy/dx first
This type of question, asked 5 times: 9 May 2024 S2, 20 Apr 2025 S2, 20 Apr 2026 S1, 14 May 2026 S2, 19 May 2026 S2. All 5 questions below, oldest first.
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Question 1
9 May 2024 S2
130
General solution of the differential equation log(dxdy)=ax+by is
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Question 2
20 Apr 2025 S2
123
The particular solution of the differential equation cos(dxdy)=7,y=1 at x=0 is
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Question 3
20 Apr 2026 S1
85
If y=f(x) is a monotonically increasing function such that (dxdy)2=6−dxdy and y(0)=5, then y(3)=⋯
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Question 4
14 May 2026 S2
87
If the function f(x) satisfying the equation [f′(x)]2+4f(x)f′(x)+f2(x)=0, then f(x)= (where c is constant of integration)