# Worksheet: Homogeneous First-Order Differential Equations

In this worksheet, we will practice solving first-order homogeneous differential equations by using a substitution to reduce the differential equation to a separable one.

Q1:

Solve the differential equation .

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Q2:

Solve the differential equation .

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Q3:

Solve the differential equation .

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Q4:

Solve the differential equation .

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Q5:

Solve the differential equation .

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Q6:

Find the solution of the differential equation that satisfies the initial condition , where .

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Q7:

Solve the differential equation .

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Q8:

Solve the differential equation .

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Q9:

Solve the differential equation .

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Q10:

Solve the following differential equation:

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Q11:

Solve the differential equation .

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Q12:

Solve the differential equation .

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Q13:

Solve the differential equation .

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Q14:

Solve the differential equation .

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Q15:

Solve the differential equation .

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Q16:

Solve the differential equation .

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Q17:

Solve the differential equation .

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