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$\dfrac {d^4y}{dx^4}+\dfrac {2d^2y}{dx^2}+y=0$

written 10.0 years ago by teamques10 ★ 70k

modified 4.3 years ago by krithikkm200 • 10

Mumbai University > First Year Engineering > sem 2 > Applied Maths 2

Marks : 3

Year : 2014

engineering mathematics

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written 10.0 years ago by teamques10 ★ 70k

Auxiliary equation is $D^4+2D^2+1=0$

$(D^2+1)^2=0 \\ D^2=-1,-1\\ D=\pm i,\pm i\\ \therefore Y_c=(c_1+xc_2)\cos x+(c_3+xc_4)\sin x$

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