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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'
Differential Equations
Find the orthogonal trajectories of the given family of curves y= Ce^-mx; with m held fixed
Differential Equations
The solution of D.E(D^4-16)y=0 is
Differential Equations
Find a solution of p+q^2=0 passing through the line x0(s) =0, y0(s)=s, z0(s)=3s
Differential Equations
Find the general and singular solution of xp^2-yp+a=0
Differential Equations
Solution of : xp^2 - (x-a)^2 = 0
Differential Equations
Find a linear homogeneous differential equation, whose solutions are {e^x,e^-x,e^x-2e^-x}
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#339914 on Dec 2023
#339914 on Dec 2023