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In this problem you will use variation of parameters to solve the nonhomogeneous equation y"-y-6y=15e³t This DE is in the standard form y" + P(t)y + Q(t)y = g(t). A. Write the characteristic equation for the associated homogeneous equation. (Use m for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Y1 = Y2= W(y1, y2): = C. Compute the following integrals. (In the differential equation, g(t) = 15e3t is the "forcing function".) Y19 W Y29 dt 1 dt W D. Write the general solution. (Use c1 and C2 for c1 and C2). y=

In this problem you will use variation of parameters to solve the nonhomogeneous equation y"-y-6y=15e³t This DE is in the standard form y" + P(t)y + Q(t)y = g(t). A. Write the characteristic equation for the associated homogeneous equation. (Use m for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Y1 = Y2= W(y1, y2): = C. Compute the following integrals. (In the differential equation, g(t) = 15e3t is the "forcing function".) Y19 W Y29 dt 1 dt W D. Write the general solution. (Use c1 and C2 for c1 and C2). y=

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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In this problem you will use variation of parameters to solve the nonhomogeneous equation This DE is in the standard form y" + P(t)y' + Q(t)y = g(t). y" - y' - 6y= 15e³t A. Write the characteristic equation for the associated homogeneous equation. (Use m for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Y1= W (y1, y2) Y2 C. Compute the following integrals. (In the differential equation, g(t) = 15e3t is the "forcing function".) Y19 -dt W Y29 dt W D. Write the general solution. (Use c1 and c2 for c₁ and c₂). y=
Transcribed Image Text:In this problem you will use variation of parameters to solve the nonhomogeneous equation This DE is in the standard form y" + P(t)y' + Q(t)y = g(t). y" - y' - 6y= 15e³t A. Write the characteristic equation for the associated homogeneous equation. (Use m for your variable.) B. Write the fundamental solutions for the associated homogeneous equation and their Wronskian. Y1= W (y1, y2) Y2 C. Compute the following integrals. (In the differential equation, g(t) = 15e3t is the "forcing function".) Y19 -dt W Y29 dt W D. Write the general solution. (Use c1 and c2 for c₁ and c₂). y=
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