Linear/Non-Linear (Circle the Answer) Differential Equation dy dey +t3 Order (6t – e*t) = ye-4t + 5 sin(5t) Linear Non-Linear dt6 dt d*f %3D p ln(-4p) + бе5p Linear Non-Linear dp sinh - In(4y) y" = 5 cos(5yx) – y²y' + 3x Linear Non-Linear (1 — х)у" — 8x^у' +—%3 4y 9cos(xy) Linear Non-Linear

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
State the order of the following ordinary differential equations and classify them as linear or non-linear
by circling the appropriate option.
Differential Equation
Order
Linear/Non-Linear (Circle the Answer)
déy
dy
+t3.
dt6
dt
+ 5 sin(5t)
(6t – e*t)
= ye-4t
Linear
Non-Linear
d*f
%3D p lIn(-4p) + бе5p
dp*
Linear
Non-Linear
sinh
- In(4y) y"
%3D 5 cos(5ух) —у?у' + Зх
Linear
Non-Linear
(1 — х)у" — 8хy' +
4y
9cos(xy)
Linear
Non-Linear
Transcribed Image Text:State the order of the following ordinary differential equations and classify them as linear or non-linear by circling the appropriate option. Differential Equation Order Linear/Non-Linear (Circle the Answer) déy dy +t3. dt6 dt + 5 sin(5t) (6t – e*t) = ye-4t Linear Non-Linear d*f %3D p lIn(-4p) + бе5p dp* Linear Non-Linear sinh - In(4y) y" %3D 5 cos(5ух) —у?у' + Зх Linear Non-Linear (1 — х)у" — 8хy' + 4y 9cos(xy) Linear Non-Linear
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