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Differential Equations
Find the General solution of the given system dx/dt=x+2y and dy/dt=4x+3
Differential Equations
(x^2+x)p^2+(x^2+x-2 x y)p+y^2-xy=0 first order and higher degree solution
Differential Equations
(y-zx)p+(x+yz)q=x2+y2
Differential Equations
Find a particular solution of the given differential equation. Use a CAS as an aid in carrying out differentiations, simplifications, and algebra.
y(4) + 2y'' + y = 6 cos x − 8x sin x
yp =
y(4) + 2y'' + y = 6 cos x − 8x sin x
yp =
Differential Equations
Suppose that two cups A and B are filled with coffee at the same time. Initially, the temperature of the coffee is 65° C. The exposed surface area of the coffee in cup B is twice the surface area of the coffee in cup A. After 30 min the temperature of the coffee in cup A is 39° C. If Tm = 20° C,
then what is the temperature of the coffee in cup B after 30 min?
Differential Equations
d^2y/dx^2-2tanxdy/dx+3y=2secx given that y=sinx is a solution of associated homogeneous equation
Differential Equations
Find the integral curves of the equations dx/yz = dy/zx = dz/xy
Differential Equations
Find the intergral curves of the equations
dx/yz=dy/zx=dz/xy
dx/yz=dy/zx=dz/xy
Differential Equations
How to find integral curve of , dx/(xz-y)=dy/(yz-x)=dz/(1-z^2)
Differential Equations
Find the Laplace transform of the given function.
f(t)={1, 0 ≤ t < 7
{ 0,t ≥ 7
Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).
L{f(t)}= _____________
f(t)={1, 0 ≤ t < 7
{ 0,t ≥ 7
Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).
L{f(t)}= _____________
