For the ODE xy" - 2y + 9x5y = 0, what is the resulting ODE for y(t) under the change of variables t = y' = dy/dx, whereas y = dy/dt .] Select one: 2³? [Here,

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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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For the ODE
xy" - 2y + 9x5y = 0,
what is the resulting ODE for y(t) under the change of variables t = 2³? [Here,
y' = dy/dx, whereas y = dy/dt.]
Select one:
a. ÿ + y = 0.
b. 3ty - 2y + 3ty = 0.
c. 3t³y - 2y + 3t³y = 0.
d. t²i+ty + y = 0.
e. None of the above.
Transcribed Image Text:For the ODE xy" - 2y + 9x5y = 0, what is the resulting ODE for y(t) under the change of variables t = 2³? [Here, y' = dy/dx, whereas y = dy/dt.] Select one: a. ÿ + y = 0. b. 3ty - 2y + 3ty = 0. c. 3t³y - 2y + 3t³y = 0. d. t²i+ty + y = 0. e. None of the above.
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