Answered: Q6/ Use Sumudu transform to solve the…

Q6/ Use Sumudu transform to solve the system of ordinary differential equations dx + y = 2cost dt x + dt dy = 0 With initial conditions x(0) = 0, y(0) = 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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Question

These differential equations can be solved using transformations. Help me solve them with more than one transformation. Requested by the Smuda transformation question. Try to solve them with another transformation as well, for example Laplace, Jahnke, and Zaki.

Q6/ Use Sumudu transform to solve the system of ordinary differential
equations
dx
+ y = 2cost
dt
x +
dt
dy
= 0
With initial conditions
x(0) = 0,
y(0) = 1.

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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