Find the general solution of this ODE:d²ydt²dy+10- + 24y = 4t² + 7t+1dtThe solution will be of the form:y(t) = Cy₁(t) + Dy2(t) + yp(t)so use C and D as the arbitrary constants.y(t)=

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Find the general solution of this ODE: d'y dt² The solution will be of the form: dy +10. +24y= 4t² + 7t + 1 dt y(t) = Cy₁(t) + Dy2(t) + Yp(t) so use C and D as the arbitrary constants. y(t):

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

Find the general solution of this ODE:
d²y
dt²
dy
+10- + 24y = 4t² + 7t+1
dt
The solution will be of the form:
y(t) = Cy₁(t) + Dy2(t) + yp(t)
so use C and D as the arbitrary constants.
y(t)
=

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