# Lesson Worksheet: Separable Differential Equations Mathematics • Higher Education

In this worksheet, we will practice identifying and solving separable differential equations.

Q1:

Solve the differential equation .

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Q2:

Solve the differential equation .

• A or
• B or
• C or
• D or
• E or

Q3:

Solve the following differential equation: .

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• E

Q4:

Solve the following differential equation, using the given boundary conditions to find a particular solution: , , .

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Q5:

Find a particular solution to the differential equation , satisfying the boundary conditions and .

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Q6:

By expressing in partial fractions, write down the particular solution to the differential equation , satisfying the condition when . Give your solution in the form .

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Q7:

Solve the following differential equation: .

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Q8:

Solve the differential equation .

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• E

Q9:

Solve the differential equation .

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• E

Q10:

Solve the differential equation .

• A or
• B or
• C or
• D or
• E or