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(Solved): Fipd the general solution of the second order differential equation. x^(2)(d^(2)y)/(dx^(2))-x(dy)/(d ...
Fipd the general solution of the second order differential equation.
x^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=((logx)/(x))^(2)
An RCL circuit connected in series has a resistance of 5 ohms, an inductance of 0.05
hendry, a capacitor of 4\times 10^(-4) farad, and an applied alternating emf of
200cos(100t) volts. Find an expression for the current flowing through this circuit if
the initial current and the initial charge on the capacitor are both zero.
Find the complete integral of the equation z^(2)=p^(2)+q^(2)+1.
Sqlive the equation (3z-4y)p+(4x-2z)q=2y-3x.
Find the Laplace transform of the square wave function
f(t)={(k,0<=t<=a),([-k,a<=t<=2a] with f(t+2a)=f(t) for all t):}
Use convolution theorem to evaluate the integral
\int_0^t u^(2)e^(-a(t-u))du
Using Laplace transform, solve the differential equation
x^('')(t)+3x^(')(t)+2x(t)=H(t-2) with x(0)=x^(')(0)=0.
Find the Fourier series expansion of f(x) given by (1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+---(1)/(1^(4))+(1)/(3^(4))+(1)/(5^(4))+---f(x)={(1-x^(2), in |x|<=1),(0 in |x|>1):}\int_9^(\infty ) (sins-coss)/(s^(3))cos((s)/(2)ds)=(3\pi )/(16)Z^(-1){(z^(3))/((z-2)^(2)(z-3))}y_(n+2)+6y_(n+1)+9y_(n)=2^(n)y_(0)=y_(1)=0