ODE 2:a Ordningen INHOMOGEN Flashcards

1
Q

Steg 1

A

Homogena lösningen

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2
Q

Steg 2

A

Partikulärlösningen

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3
Q

Y(x) = ?

A

Y(x) = yh + yp

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4
Q

Hur lösa yh?

A

Använd r^2 + pr + q = 0

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5
Q

Hur lösa yp?

A

Tänk på ansats, är det t.ex sinx i lös. kommer det finns även i Y. Om inte kommer det ej finnas. Ansats ska likna VL.

Matcha termerna av samma slag för att få ut A, B, K

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6
Q

Ansats polynom

A

Polynom av samma grad

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7
Q

Ansats e^ax

A

Ae^ax SAMMA EXPONENT

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8
Q

Ansats Sin(ax) / cos(ax)

A

Asin(ax) + Bcos(ax)

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9
Q

Ansats axe^bx

A

(Ax + B)e^bx

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