Reduction of order

Intros

Lessons

What is the Reduction of Order Method?
A quick recap of the steps in the Reduction of Order Method

Examples

Lessons

Using Reduction of Order
Find the general solution to the following homogeneous linear second order differential equation:
$xy''+y'=0$
Where it is known that $y_1 (x)=\tilde{c}_1$ is a solution
Where $\tilde{c}_1$ is a constant.
Find the particular solution to the following homogeneous linear second order differential equation:
$x^2 y''-xy'+y=0$
Where it is known that $y_1 (x)=x$ is a solution. The initial values are $y(1)=2$ , and $y' (1)=1$

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