can anyone help me to solve this equation ?. is this equation linear or not?(adsbygoogle = window.adsbygoogle || []).push({});

knowing, this equation represents the equation of motion for frame members for materials which have different moduli in tension and compression (civil engineering).

"EI" ("x,t" ) ("∂" ^"4" "u" ("x,t" ))/〖"∂x" 〗^"4" "-N" ("x" ) ("∂" ^"2" "u" ("x,t" ))/〖"∂x" 〗^"2" "+m" ("x,t" ) ("∂" ^"2" "u" ("x,t" ))/〖"∂t" 〗^"2" "=0"

In which,

EI depends on a roots of cubic equation, and t depends on ("∂" ^"2" "u" )/〖"∂t" 〗^"2" (acceleration)

boundary conditions:

at x=0, u=0 and at x=L, u=0

at t=0, u=0

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# Partial differential equations

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