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A series circuit contains a resistor with R = 40Ω, an inductor with L = 2 H, a capacitor with
0.0025 F, and a 12 − V battery. The initial charge is Q = 0.001 C and the initial current is
0. Using the method of undetermined coefficients, find the charge at time t A series circuit contains a resistor with R = 40Ω, an inductor with L = 2 H, a capacitor with
0.0025 F, and a 12 − V battery. The initial charge is Q = 0.001 C and the initial current is
0. Using the method of undetermined coefficients, find the charge at time t
(y−(cosx)^2)dx+cosxdy=0
xy'=6y
Solve
(D^2+DD'-6D'^2)z= ycosx
Solve, by using the method of variation of parameter, the following differential equation
(D^2-3D+2)y = 1/(1+e^-x)
cos^2y+sinxcosxcosy p=sinycos^2x using u=sinx and v=siny
y^2logy=xpylogx+x^2p^2 by using logy=v,logx=u find G.S,S.S
p^2(x^2-a^2)-2xyp+y^2+a^4=0 find G.S and S.S
Y^2+x^2p^2-2xyp=4/p^2find GS and SS
Where GS=y^2-2cxy+c^2(x^2-1)=m^2
SS= y^2+m^2=m^2 answers to be got
X^2p^2+xyp+2y^2=0
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