Practice Topic 2: First Order Linear Equations


Part A: Just Product Rule


These differential equations can all be solved using the product rule.

In each equation, yy is a function of tt that you are solving for.

Please enter any multiplication explicitly with * symbols so the parcer can understand your answer, like this:

2t3e5t2⟶2∗t3∗e(5∗t2).2t^3e^{5t^2} \longrightarrow 2*t^3*e^{(5*t^2)}.

Problem 1

Use the product rule to simplify the equation to this form: (p(t)y)'=0. Don't solve yet! Just answer this question: What is p(t)?

t2y′+2ty=0t^2 y' + 2t y = 0