State the Type, Order, and Linearity of the given ordinary differential equation dªy dy -(dx) 4 dxª 3 +y=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Discrete Math

select the correct multiple choice

State the Type, Order, and Linearity of the given ordinary differential equation

\[ x \frac{d^4y}{dx^4} - \left( \frac{dy}{dx} \right)^3 + y = 0 \]

a. ODE, 4, Nonlinear

b. PDE, 3, Nonlinear

c. ODE, 3, Nonlinear

d. PDE, 4, linear

- Options:
  - ○ a
  - ○ b
  - ○ c
  - ○ d
Transcribed Image Text:State the Type, Order, and Linearity of the given ordinary differential equation \[ x \frac{d^4y}{dx^4} - \left( \frac{dy}{dx} \right)^3 + y = 0 \] a. ODE, 4, Nonlinear b. PDE, 3, Nonlinear c. ODE, 3, Nonlinear d. PDE, 4, linear - Options: - ○ a - ○ b - ○ c - ○ d
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