ODE post | Mathematics | Page 1

full parcel Sep 17, 2025, 5:49 AM

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where

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many of these are ordinary linear and homogeneous

clear axle Sep 17, 2025, 5:50 AM

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How can you justify it?

full parcel Sep 17, 2025, 5:51 AM

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note that (a) and (b) has y''

clear axle Sep 17, 2025, 5:51 AM

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1-1 is in linear form already right?

full parcel Sep 17, 2025, 5:51 AM

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what does that mean for a differential equation

clear axle Sep 17, 2025, 5:51 AM

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Oh 1-1-a

full parcel Sep 17, 2025, 5:52 AM

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(c) is sneakier but (d^2y)/(dx^2) still means y''

clear axle Sep 17, 2025, 5:52 AM

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One sec.

full parcel Sep 17, 2025, 5:52 AM

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full parcel many of these are ordinary linear and homogeneous

btw this is for the bottom

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not the top

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the top has like y''

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not y' only

clear axle Sep 17, 2025, 5:54 AM

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Wait let's tackle this one at a time

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1-a is already in standard form for linear equations, right?

full parcel Sep 17, 2025, 6:03 AM

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linear means y'

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but linear isn't y''

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although all of these are ordinary

clear axle Sep 17, 2025, 6:06 AM

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Wait what do you mean linear means y'

full parcel Sep 17, 2025, 6:09 AM

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if you only have y' it's linear

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but it's not linear if you also have y''

clear axle Sep 17, 2025, 6:12 AM

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In the practice exam, in 1-a, isn't y a defining value for y" and y'?

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Cause of the 5y at the end of the left hand side of the equation.

full parcel Sep 17, 2025, 6:14 AM

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like y can change y' or y''?

clear axle Sep 17, 2025, 6:23 AM

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Oh wait a moment. Its different from the one in practice exam.

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I'm confused now.

merry hare Sep 18, 2025, 9:18 PM

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clear axle

need help?

#ODE post