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Differential Equations
solve the initial value problem:
dx/dt+ (tant)x= cos2t , x(0)= -1
Differential Equations
(D2-2D+3) y=x2
Differential Equations
Obtain the characteristic curves for the partial differential equation 4uxx+5uxy+uyy+ux+uy=0.
Differential Equations
Find the region in which the PDE
x^2(y-1)uxx-x(y^2-1)uxy+y(y^2-1)uyy+ux=0
is hyperbolic.
x^2(y-1)uxx-x(y^2-1)uxy+y(y^2-1)uyy+ux=0
is hyperbolic.
Differential Equations
Reduce the PDE uxx+xuyy
into a canonical form in the region
x<0.
into a canonical form in the region
x<0.
Differential Equations
Solve the initial-value problem : (dx)/(dt) +(tant)x=cos^2(t), x(0)=-1
Differential Equations
Initially 100 milligrams of a radioactive . After 6 hours the mass had decayed by 3% the rate of decay is proportional to the amount of substance present at time t amount remaining after 24 hours .
Differential Equations
Initially milligrams of a radioactive . After hours the mass had decayed by the rate of decay is proportional to the amount of substance present at time amount remaining after hours .
Differential Equations
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time .After hours it is observed that there are After hours there are bacteria present. bacteria present. Find the initial number of bacteria .
Differential Equations
Solve the following lengendre differential equation.
(1-x2)y"-2xy'+l(l+1)y=0
