Solve the following system of differential equations using the elimination method:{y′1 = −11y1 + 4y2 + 2{y'2 = −20 y1 + 7 y2 + 3xWith elimination, you get a second-order differential equation. What are the roots of the characteristic equation?Answer:Give general solutions. The variable for the solutions is x.y1 (x) =y2 (x) = Ratkaise seuraava differentiaaliyhtälösysteemi eliminointimenetelmällä:-11 y1+4 y2 + 2-20 yı+7 y2 + 3xEliminoinnilla saat toisen kertaluvun differentiaaliyhtälön. Mitkä ovat karakteristisen yhtälön juuret?Anna juuret muodossa {A1, A2} eli esim. {2, 3}.Vastaus:Anna yleiset ratkaisut. Ratkaisujen muuttujana on x.Y1 (x) =Y2 (x) =Vastaa tehtävän kaikkiin kohtiin jotain. Muuten vastauksiasi ei arvostella.

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Solve the following system of differential equations using the elimination method: {y′1 = −11y1 + 4y2 + 2 {y'2 = −20 y1 + 7 y2 + 3x With elimination, you get a second-order differential equation. What are the roots of the characteristic equation? Answer: Give general solutions. The variable for the solutions is x. y1 (x) = y2 (x) =

Solve the following system of differential equations using the elimination method: {y′1 = −11y1 + 4y2 + 2 {y'2 = −20 y1 + 7 y2 + 3x With elimination, you get a second-order differential equation. What are the roots of the characteristic equation? Answer: Give general solutions. The variable for the solutions is x. y1 (x) = y2 (x) =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 52RE

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Question

Solve the following system of differential equations using the elimination method:

{y′1 = −11y1 + 4y2 + 2
{y'2 = −20 y1 + 7 y2 + 3x

With elimination, you get a second-order differential equation. What are the roots of the characteristic equation?

Answer:

Give general solutions. The variable for the solutions is x.

y1 (x) =

y2 (x) =

Ratkaise seuraava differentiaaliyhtälösysteemi eliminointimenetelmällä:
-11 y1+4 y2 + 2
-20 yı+7 y2 + 3x
Eliminoinnilla saat toisen kertaluvun differentiaaliyhtälön. Mitkä ovat karakteristisen yhtälön juuret?
Anna juuret muodossa {A1, A2} eli esim. {2, 3}.
Vastaus:
Anna yleiset ratkaisut. Ratkaisujen muuttujana on x.
Y1 (x) =
Y2 (x) =
Vastaa tehtävän kaikkiin kohtiin jotain. Muuten vastauksiasi ei arvostella.

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