# Lesson Worksheet: Indefinite Integrals and Initial Value Problems Mathematics • Higher Education

In this worksheet, we will practice using integration to find particular solutions to initial value problems involving differential equations of the form y’ = f(x).

Q1:

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

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Q2:

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

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Q3:

Solve the differential equation for given that .

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Q4:

You are told that . If and , which of the following is equal to ?

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Q5:

Find the function whose first derivative is given the value of the function equals when equals .

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Q6:

Suppose that and when . Find in terms of .

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Q7:

Find the function, if , when and .

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Q8:

Determine the function satisfying , , and .

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Q9:

Determine the function if , , , and .

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Q10:

Suppose that and when . Find in terms of .

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This lesson includes 13 additional questions and 153 additional question variations for subscribers.