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Differential Equations
Find the Fourier Sine transform of f(x) = 1 in 0,l
Differential Equations
dx/y^2 z=dy/xz=dz/yz solution ?
Differential Equations
2yzdx-2xzdy-(x^2-y^2)(z-1)dz=0
Differential Equations
y" — 9y = 0. + e.
Differential Equations
A rod of length L has its ends A and B maintained at 20 °C and 40 °C respectively
until steady state condition prevail. The temperature at A is suddenly raised to
50 °C while that at B is lowered to 10 °C and maintained thereafter. Find the
subsequent temperature distribution of the rod.
until steady state condition prevail. The temperature at A is suddenly raised to
50 °C while that at B is lowered to 10 °C and maintained thereafter. Find the
subsequent temperature distribution of the rod.
Differential Equations
Y^2+x^2p^2-2xyp=4/p^2
Differential Equations
z(x+y)p+z(x-y)q=x²+y² where p=dz/dx
q=dz/dx (partial differentiation) (i couldn't find its symbol so used d only)
q=dz/dx (partial differentiation) (i couldn't find its symbol so used d only)
Differential Equations
Two kinds of bacteria are found in a sample of tainted food. It is found that the population size of type 1, N1 and of type 2, N2 satisfy the equation
dN/dt=-0.2/N1
dN/dt=0.6/N2
N1 is equal to 2000 at time equal to zero, while N2 is equal to 20 at time equal to zero.
Then the population sizes are equal (N1 = N2) at what time? (4 decimal places)
Differential Equations
Solve. dx/dt=-2x+7y,dy/dt=3x+2ysubject to the condition x(0)=9 and y(0)=-1
Differential Equations
A uniform bar of length which heat flows is insulated at its sides . The ends kept at zero temperature . If the initial temperature at the interior points of the bar is given by k sin^ 3 ( pi x l ). find the temperature distribution in the bar after time ' t'
