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Differential Equations
Find the general integral of the partial differential equation using Lagrange's method
p(z+e^x)+q(z+e^y)=z^2-e^(x+y)
p(z+e^x)+q(z+e^y)=z^2-e^(x+y)
Differential Equations
Xp^2+2yp+x=0
Differential Equations
y’ = Csc x -yCot x
Differential Equations
( 3xy + 3y - 4)dx + (x + 1)2dy = 0
Differential Equations
d²z/dx²=sin y, solve it by 2 order integration
Differential Equations
Question 1
1.1 Find the general solution of the system
dx/dt= -x + 4y + 2z
dy/dt= 4x - y - 2z
dz/dt= 6z
1.1 Find the general solution of the system
dx/dt= -x + 4y + 2z
dy/dt= 4x - y - 2z
dz/dt= 6z
Differential Equations
(3x+y-z)p + (x+y-z)q = 2(z-y)
Differential Equations
Solve the differential equation:
(x-y^2)dx+2xy.dy=0
(x-y^2)dx+2xy.dy=0
Differential Equations
The differential equation satisfied by a beam uniformly loaded at one end that is fixed and the other end 8s subjected to a tensile force P, is given by EI.d^2y/dx^2= P.y- 1/2(W.x^2),where E,I,P,W are constants. Show that the elastic curve for the beam under the conditions y=0, dy/dx=0 at x=0, is given by y(x)=(W/P^2)[1-cosh(vx)]+ (W/2P)(x^2+2/n^2),where EI= P/n^2
Differential Equations
Using the separation of variable technique, solve: ∂u/∂x+ ∂u/∂y= 2(x+y)u
