# Lesson Worksheet: Bernoulli’s Differential Equation Mathematics

In this worksheet, we will practice solving Bernoulli’s differential equation, which has the form y’ + p(x) y = q(x) yⁿ, by reducing it to a linear differential equation.

**Q1: **

Find the nontrivial solution to the differential equation , where .

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**Q2: **

Find any nontrivial solutions to the differential equation .

- A and
- B and
- C and
- D
- E and

**Q3: **

Find the nontrivial solution to the differential equation , where .

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**Q4: **

Find the non-trivial solution to the differential equation where .

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**Q5: **

Find the nontrivial solution to the differential equation .

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**Q6: **

Find any nontrivial solutions to the differential equation .

- A
- B and
- C and
- D and
- E and

**Q7: **

Given that there exists a function such that , find the nontrivial solution to the differential equation .

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**Q8: **

Given that there exists a function such that , find any nontrivial solutions to the differential equation .

- A and
- B and
- C
- D and
- E