Lesson: Initial Value Problems Mathematics • Higher Education

In this lesson, we will learn how to find a specific solution to a separable differential equation given an initial value.

Lesson Plan

Students will be able to

understand the concept of an initial value problem and the relationship between the general solution and a particular solution to a differential equation,
find particular solutions to separable first-order ordinary differential equations, given an initial value.

Q1:

Find the equation of the curve that passes through the point given that the gradient of the tangent at any point is .

Q2:

Find the equation of the curve that passes through the point given .

Q3:

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