In exercises 1- 5, solve the initial value problem. Graph the solution on appropriate interval. 1- у" - у' %3D0, У (0) %3 3, у'(0) %3 2 2- Зу" - у' %3D0, 3- y" + y' – 12y = 0, y(0) = 0, y'(0) = 7 y(0) = 0, y'(0) = 7 %3D

In exercises 1- 5, solve the initial value problem. Graph the solution on appropriate interval. 1- у" - у' %3D0, У (0) %3 3, у'(0) %3 2 2- Зу" - у' %3D0, 3- y" + y' – 12y = 0, y(0) = 0, y'(0) = 7 y(0) = 0, y'(0) = 7 %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Solve for ODE

In exercises 1- 5, solve the initial value problem. Graph the solution on appropriate interval.
1- у" - у' %3D 0,
2- Зу" — у' %3D0,
3- у" + у' — 12у %3D 0,
У (0) %3D 3, у'(0) — 2
у (0) %3D 0, у'(0) — 7
У (0) %3D 0, у'(0) — 7

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