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Lesson: Solving Initial Value Problems of Differential Equations

An initial value problem is an ordinary differential equation together with a specified value, called the initial condition, of the unknown function at a given point in the domain of the solution. In this lesson, we will learn how to solve initial value problems.

Worksheet: Solving Initial Value Problems of Differential Equations • 3 Questions

Q1:

Find a particular solution for the following differential equation for which .

Q2:

The area of a lamina is changing at the rate cm²/s, starting from an area of 60 cm². Give an exact expression for the area of the lamina after 30 seconds.

A cm²
B cm²
C cm²
D cm²

Q3:

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

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