Chapter 1
Basic Concepts
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Chapter 1
Basic Concepts
Independent Variable
- (^) Hindi naka derivative form (walang apostrophe (‘)) or yung nasa denominator ng dy/dx
- (^) Ex
- (^) x, dy/dx kapag ganto lang yung Nakita independent ang x
Ordinary ODE
- (^) Merong 1 independent variable
- (^) Ex
- (^) y’=x, dito merong 2 na hindi nakaderivative x meaning independent siya at nagiisang independent lang siya meaning ode itong equation
Partial (PDE)
- (^) Merong 2 or more na independent variable kadalasan gumagamit ng
- (^) Ex
- (^) y’=x+z dito ang independent variable ay x at z dahil di iisa ang independent variable pde na itong equation.
Order
- (^) The highest number of derivative a variable has
- (^) Ex
- (^) y’ ang order nito ay 1
- (^) y‘’ ang order nito ay 2
- (^) y^IV ang order nito ay 4
- (^) ang order nito ay 2
Linear
- (^) Ang degree ng lahat ng dependent variable ay 1
- (^) Walang nakamultiply sa dependent variable na kapwa dependent variable
- (^) Walang transcendental function sa dependent variable
- (^) Ex
- (^) y=x’+x”
- (^) x=y’+x+y”