Question
In: Advanced Math
Derive Kelvin Stokes' theorem using differential equations
Derive Kelvin Stokes' theorem using differential equations
Solutions
Colby Messinger answered 1 year agoRelated Solutions
Derive the Navier Stokes equations to obtain the velocity profile and the flowrate Q for a...
Derive the Navier Stokes equations to obtain the velocity profile
and the flowrate Q for a cylindrical tank with a stirrer.
proof of the general stokes theorem using the greens and divergence theorem that is understandable by...
proof of the general stokes theorem using the greens and
divergence theorem that is understandable by a calculus student
DIFFERENTIAL EQUATIONS A simple pendulum is an example of a free, damped vibration. Derive the equation...
DIFFERENTIAL EQUATIONS
A simple pendulum is an example of a free, damped vibration.
Derive the equation of motion of a simple pendulum of mass m and
length l, displaced a small angle (<15o) from equilibrium in a
viscous medium of damping constant b. Devise an experimental means
of determining the damping constant and find this value for air.
PLEASE SHOW THE COMPLETE PROCEDURE OF THE DIFFERENTIAL EQUATION
SOLUTION
can someone explain the stokes theorem using an example other than flux or work?
can someone explain the stokes theorem using an example other
than flux or work?
Solving Differential Equations using Laplace Transform
Solving Differential Equations using Laplace Transform
a) y" - y' -2y = 0
y(0) = 1, y'(0) = 0
answer: y = 1/3e^2t + 2/3e^-t
b) y" + y = sin2t
y(0) = 2, y'(0) = 1
answer: y(t) = 2cost + 5/3 sint - 1/3sin2t
c) y^4 - y = 0
y(0) = 0, y'(0) = 1, y"(0) = 0, y'''(0) = 0
answer y(t) = (sinht + sint)/2
Ordinary Differential Equations
The rate at which the ice melts is proportional to the amount of ice at the instant. Find the amount of ice left after 2 hours if half the quantity melts in 30 minutes. Solution. Let m be the amount of ice at any time t.
Ordinary Differential Equations
Solve the following problems.
\( \frac{d y}{d t} \tan y=\sin (t+y)+\sin (t+y) \)
Ordinary Differential Equations
Solve the following problems.
(a) \( \frac{d y}{d t}=2+\frac{y}{t} \)
(b) \( 3 t+2 y \frac{d y}{d t}=y \)
Ordinary Differential Equations
Solve the following problems.
\( t y \frac{d y}{d t}=\sqrt{t^{2} y^{2}+t^{2}+y^{2}+1} \)
Ordinary Differential Equations
Write a differential equation in wich \( y^2=4(t+1) \) is a solutiion.
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