Solve the following differential equation. As you know, indefinite integrals are used to solve these equations and have an undetermined constant. In this exercise use C = 0. dy + 2y = x dx Use the formula: 1 xe2ª dx = e2¤ 2 - 4 Of course, you can check that formula easily by differentiation. (Also, check your solution of the differential equation by differentiation.) Hint: Recognize this as a first-order linear differential equation and follow the general method for solving these.
Solve the following differential equation. As you know, indefinite integrals are used to solve these equations and have an undetermined constant. In this exercise use C = 0. dy + 2y = x dx Use the formula: 1 xe2ª dx = e2¤ 2 - 4 Of course, you can check that formula easily by differentiation. (Also, check your solution of the differential equation by differentiation.) Hint: Recognize this as a first-order linear differential equation and follow the general method for solving these.
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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Transcribed Image Text:Solve the following differential equation. As
you know, indefinite integrals are used to solve these
equations and have an undetermined constant. In this
exercise use C = 0.
dy
+ 2y = x
dx
y =
Use the formula:
2x dx
xe
e2z
2
4
Of course, you can check that formula easily by
differentiation. (Also, check your solution of the
differential equation by differentiation.)
Hint: Recognize this as a first-order linear differential
equation and follow the general method for solving
these.
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