Solve the differential equation: dz/dt + e^(t + z) = 0.

Question:

Solve the differential equation: {eq}\frac{\mathrm{d}z}{\mathrm{d}t} + e^{t + z} = 0 {/eq}.

Separable Differential Equation:

Separable part of the differential equation is separated and then integrated to get the solution of the differential equation given. We even use the substitution method, in which the variable is substituted with another variable.

Answer and Explanation:


Given expression of the differential equation is :

{eq}\frac{\mathrm{d}z}{\mathrm{d}t} + e^{t + z} = 0\\ let~~ z=y\\ => z'=...

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Separable Differential Equation: Definition & Examples

from GRE Math: Study Guide & Test Prep

Chapter 16 / Lesson 1
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