Classification pt 1

# Classification pt 1 - University of Waterloo CivE 331...

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Unformatted text preview: University of Waterloo CivE 331 Complete the following table. Differential Equation ODE or PDE Order Inde- pendent variables De- pendent variables Homogeneous or Non- homogenous Linear or non-linear (a) y x y x 5 2 + = (b) x x xx e y y y 3 5 4 =-- (c) y xx t u u u + = 4 (d) t s s s tt ttt 3 ) ( ) ( 3 2- = + (e) φ φ r d dr = (f) ( 29 y x x yy sin 3 =- (g) 3 1 ) ( y xx v v = (h) ( 29 ( 29 3 2 =- + + dy y x dx y x (i) ( 29 x u x u t xx sin 2 = + (j) = + + zz yy xx T T T University of Waterloo CivE 331 Complete the following table (solutions). Differential Equation ODE or PDE Order Inde- pendent variables De- pendent variables Homogeneous or Non- homogenous Linear or non- linear (a) y x y x 5 2 + = ODE 1 st Non-homogeneous Linear (b) x x xx e y y y 3 5 4 =-- ODE 2 nd Non-homogeneous Linear (c) y xx t u u u + = 4 PDE 2 nd – x 1 st – y 1 st – t , , homogeneous Linear (d) t s s s tt ttt 3 ) ( ) ( 3 2- = + ODE 3 rd Non-homogeneous Non-Linear (e) φ φ r d dr = ODE 1 st φ homogeneous Non-Linear...
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Classification pt 1 - University of Waterloo CivE 331...

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