Find the general solution to the homogeneous differential equation The solution can be written in the formwith f₁ (t) =and f₂ (t)your answers so that the functions are normalized with f₁(0) = 1 and f₂(0) = 0.d²ydt²14 +49y = 0dty = C₁f₁(t) + C₂ f2(t)Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter

Given differential equation is :- y''-14y'+49y =0 we have to calculate the general solution of the…

Answered: The solution can be written in the form…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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The solution can be written in the form d'y dt² 14 dy dt +49y0 y=C₁fi(t) + C₂fz(t)