prob1-2

# prob1-2 - Problems 1-2 1 Classify the following...

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Problems 1-2 1. Classify the following differential equations as to order, degree, and linearity. State the independent variables and unknown functions.   . ay Pxy Qx  .4 3 6 0 by y y   2 3 43 3 .5 ds cs t dt    0 3 . dy x  0 0 0 .( ) , i n i i i dy ea x f x w h e r e dx dx y 22 .0 uu f xy   30 . 0 xy xz yz g yz y  4 .s dx hy x dy i n y 2.Write the most general second-order linear partial differential equation in two independent variables. 3.Prove that if is a solution of the linear equation 1 yx     1 axy bxy cxy f x  and is a solution of 2 2 then is a solution of 12 yyx yx        f x This additive property of the solutions of linear differential equations is known as the principle of superposition.

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prob1-2 - Problems 1-2 1 Classify the following...

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