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Q. solve (D4+8D2−9)y=9x3+5cos2x
Q. solve (D3−7D+12)y=x3−5x2
Q. solve (D3−7D−6)y=1+x
Q. Solve the following differential equation:
(D3−D2+3D+5)y=exsin2x
Q. Solve the following differential equation:
(D3+D2−4D+4)y=e2x
Q. Find an equation of orthogonal trajectory of the curve of each of the following:
(i) x=cy2
(ii) x2+y2=cx
(iii) y=ecx
(iv)xy=c
(v)y2=x2+cx
Q. Write down the applications of Differential equations.
Q. Explain the Mathematical modeling of 2nd and higher order ordinary differential equation.
Q. Explain the Mathematical modeling of first order differential equation.
If y= e ax cos 3 x sin 2 x find dy/dx
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