# Worksheet: Bernoulli's Differential Equation

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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• E

Q2:

Find the general solution for the following Bernoulli differential equation:

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Q3:

Find any nontrivial solutions to the differential equation .

• A and
• B and
• C and
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• E and

Q4:

Find the nontrivial solution to the differential equation , where .

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• E

Q5:

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

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Q6:

Find the nontrivial solution to the differential equation .

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• E

Q7:

Find any nontrivial solutions to the differential equation .

• A
• B and
• C and
• D and
• E and

Q8:

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

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• E

Q9:

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

• A and
• B and
• C
• D and
• E