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Differential Equations
Obtain the differential equation from the given general solution.
y= c1 cos(4x) +c2 sin(4x) +c3 xcos4x +c4x sin(4x)
y= c1 cos(4x) +c2 sin(4x) +c3 xcos4x +c4x sin(4x)
Differential Equations
Find the integral surface of (x-y)(p-q) = z(q+1) which contains the circle z=4; x2+y2=42.
Differential Equations
Obtain a family of solutions for the homogeneous differential equation
Differential Equations
what is the differential equation having a solution y=cx²+cx?
Differential Equations
Solve the following bvp by eigenfunction expansion method.
y''+2y=2-4x, y(0)=0, y(1)+y'(1)=0
Differential Equations
uxx=4ut , 0<x<2 , t>0
u(0,t)=5, u(2,t)=10, t>0
u(x,0)=x, 0≤x≤2
Find the transient and steady-state temperature of the above bvp of heat equation
Differential Equations
y=C1e^2x + C2e^-x
Differential Equations
Solve the following ordinary differential equation.
dy/dx = (x^3) sec y
Differential Equations
Solve the following initial-value problem.
dp/dt = -kp, p(0) = 10.4, p(2) = 3.7
Differential Equations
Solve the initial value problem
y" + 2y + 2y = 2, 7(0) = 0,1(0)=1
using the method of Laplace Transform.
y" + 2y + 2y = 2, 7(0) = 0,1(0)=1
using the method of Laplace Transform.
