Question

Show how to solve a non-separable partial differential equation using fourier transforms, and briefly explain each step.

Answer #1

Use method of Laplace transforms to solve and explaine step by
step the following differential equation:
2y''+3y'-2y=te-2t with y(0)=0 and y'(0)=2.
Can we do this using partial fractions? if so, how? Thank you so
much!

Solve the following differential equation by Laplace transforms.
The function is subject to the given conditions.
y''-y=5sin2t, y(0)=0, y'(0)=6

Solve the separable differential equation for u
du/dt = e^2u + 9t . Use the following initial condition: u ( 0 )
= 12 .
u =____________________

Solve the following partial differential equation using
separation of variables method
[Marks 10]
?2?/??2− ???/?? +??/?? = ?.

(1 point) Solve the separable differential equation
?′(?)=√(4y(x)+32), and find the particular solution satisfying the
initial condition ?(1)=−4. ?(?)=__________.

(b) Solve the separable differential
equation
y'=
(7e^-3x+2x^2-xcosx)/-6y^3
(c) Solve the IVP
x(1-siny)dy=(cosx-cosy-y)dx
.
y(π/2)=0

Solve an engineering technology application of a separable
differential equation.
Use first order linear differential equations for solving
engineering technology problems.
In 1986, the world's worst nuclear accident occurred in
Chernobyl, Ukraine. Since then, over 20,000 people have died from
radioactivity of Cesium 137, which has a half-life of 30.1 years.
What percent of Cesium 137 released in 1986 remain in 2016?

Solve the initial value problem using Laplace transforms.
Explain and show all steps.
y'' + 9y = 3δ(t - π)
where y(0) = 3 and y'(0) = 0

Show step by step how to solve the following (and explain how
each equation was found and integrated). DON'T COPY AND PASTE THE
SOLUTION MANUAL. ANSWERS: 13 uWb/m, 17%.
Two long, parallel copper wires of diameter 2.5 mm carry
currents of 10 A in opposite directions. (a) Assuming that their
central axes are 20 mm apart, calculate the magnetic flux per meter
of wire that exists in the space between those axes. (b) What
percentage of this flux lies inside...

solve the given differential equation (x^2) y’’ -6y=0
please explain step by step

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 22 minutes ago

asked 31 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 44 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago