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5.2 First Order Differential Equations

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8.1: Basics of Differential Equations

This chapter covers ordinary differential equations with specified initial values, a subclass of differential equations problems called initial value problems. To reflect the importance of this

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How to solve initial value problems

Let U ( s )= L [ u ( t )]. Take the Laplace transform of each side of the initial-value problem. By theorem (4) ( from a previous article) and its corollary where F ( s )= L [ f ( t )].

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Differential Equations

The first step in using the calculator is to indicate the variables that define the function that will be obtained after solving the differential equation. To do so, the two fields at the top of the

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Ordinary Differential Equations (ODE) Calculator

In multivariable calculus, an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the
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