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Write the following first-order differential equations in standard form.$$\frac{d y}{d t}=4 y+t y+\tan t$$

$\frac{d y}{d t}-(4+t) y=\tan (t)$

Calculus 2 / BC

Chapter 4

Introduction to Differential Equations

Section 5

First-order Linear Equations

Differential Equations

Harvey Mudd College

University of Michigan - Ann Arbor

University of Nottingham

Lectures

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In mathematics, integratio…

06:55

In grammar, determiners ar…

02:10

Write the following first-…

00:54

01:31

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Determine the order of the…

00:51

Write an equivalent first-…

03:05

01:14

01:34

00:20

01:30

Convert the given linear d…

high in this question. We are going to arrange this equation into standout form. Divide by T ea quo for why? Plus tee off. Why? Plus 10. Oh, tea. Hear t is free. Variable like eggs. In other question, it just changed the name. Nothing complicate their, uh I understand art form. It means this foam Ah, here will be p r t instead off p of x equal Q Off T and let's do it we have Why, Prime, As you show now, we move the term with why to the left side and it's gonna be my nest full. Why mine s t y? And we left tens of tea on the rice I And here we removed. We pull. Why? All of it is going to become minus four plus t times. Why? And he'll be how our equation. You understand that form where minus four minus t gonna be P O. T. And 10 of T s Q r t. And that is it. Thank you

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