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solve the following question

  1. dy/dx+3y=3x2e-x

solve the folloing equation

  1. d2y/dx2-2dy/dx+5y=extan2x

solve the following equation

  1. d2y/dx2-2dy/dx+5y=extan2x

Solve the following differential equation subject to the given initial conditions. 1. dy/dtheta=ysin(theta); y(pi)=3. 2. x^2 dy/dx=y-xy; y(1)=1


Using the 6 ordinate scheme analyze harmonically the data to third harmonics
X 0 π/3 2π/3 π 4π/3 5π/3 2π
Y 10 12 15. 20. 17. 11. 10

Solve for x and y in the following set of simultaneous differential equations by using D-operator methods: (D-2)x + Dy = 10sin2t

Dx + (D+2)y = 0


y'=(2cos^2(x)-sin^2(x)+y^2)/2cos(x), y(0)=-1, y(1)=sin(x)


d^2q/dt^2+16dq/dt=60
In an L-C circuit, L = 1 henry, C = 1
16 farad and E(t) = 60 volt.
Solce using laplace

dt dt represents the capacitor charge at anytime t.
Given q(0)= 0and q' ( 0)=i(0)=0 find:
7.1 the charge q on the capacitor at anytime t. (7)
7.2 the current i at anytime t.
L{2(t)H(t-3)}
Inverse laplace (s-5/s^2+4s+20)
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