Bernoulli equation: divide by a power of y and substitute
This type of question, asked 5 times: 16 May 2023 S2, 11 May 2024 S2, 25 Apr 2025 S1, 11 Apr 2026 S2, 13 May 2026 S2. All 5 questions below, oldest first.
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Question 1
16 May 2023 S2
142
The general solution of the differential equation dxdy=ytanx−y2secx is
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Question 2
11 May 2024 S2
107
The solution of dydx+xy=x2 is:
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Question 3
25 Apr 2025 S1
123
The solution of the equation x2y−x3⋅dxdy=y4cosx, where y(0)=1, is
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Question 4
11 Apr 2026 S2
86
The solution of the differential equation xdxdy+y=x3y6, is...
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Question 5
13 May 2026 S2
87
If the curve y=f(x) passes through the point (1,2) and satisfies the differential equation xdy+(y+x3y2)dx=0, then the equation of curve is...