# Worksheet: First-Order Linear Differential Equations

In this worksheet, we will practice solving linear first-order differential equations.

**Q1: **

Solve the differential equation .

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**Q2: **

Solve the differential equation , where , subject to the condition .

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**Q3: **

Solve the differential equation , where , subject to the condition .

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**Q4: **

Solve the differential equation subject to the condition .

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**Q5: **

Solve the differential equation subject to the condition .

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**Q6: **

Solve the differential equation , 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 subject to the condition .

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**Q10: **

Is the differential equation linear?

- Ano
- Byes

**Q11: **

Solve the differential equation , where .

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**Q12: **

Solve the differential equation subject to the condition .

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**Q13: **

Solve the differential equation .

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**Q14: **

Solve the differential equation subject to the condition .

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**Q15: **

Is the differential equation linear?

- Ayes
- Bno

**Q16: **

Solve the differential equation , where .

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**Q17: **

Solve the differential equation .

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**Q18: **

Is the differential equation linear?

- Ayes
- Bno