Question

Solve the initial value problem: y' = 7y(y−13), y(0) = 17 for the solution. Identify the equilibrium solutions and their stability properties.

Answer #1

Solve the given initial-value problem.
y'' + 7y' −
8y =
16e2x, y(0)
= 1, y'(0) = 1

Use the Laplace transform to solve the given initial-value
problem. y'' − 7y' + 12y = (t − 1), y(0) = 0, y'(0) = 1

For 2y' = -tan(t)(y^2-1) find general solution (solve for y(t))
and solve initial value problem y(0) = -1/3

Solve the initial value problem y''−y'−2y=0, y(0) = α, y'(0) =2.
Then ﬁnd α so that the solution approaches zero as t →∞

Solve the initial value problem y"+xy'+y'-y=0, y(0)=1, y'(0)=0,
and then find a pattern for the terms so you can write the solution
in Infinite Sum form

a)
find all possible solutions of y''+y'-6y=12t
b) solve initial value problem of y''+y'-6y=12t, y(0)=1,
y'(0)=0

Solve for Y(s), the Laplace transform of the solution y(t) to
the initial value problem below. y''-9y'+18y=5te^(3t), y(0)=2,
y'(0)=-4

Solve the initial value problem:
y' = 7x3y
y(0) = 7

Consider the initial value problem
dy/dx= 6xy2 y(0)=1
a) Solve the initial value problem explicitly
b) Use eulers method with change in x = 0.25 to estimate y(1)
for the initial value problem
c) Use your exact solution in (a) and your approximate answer in
(b) to compute the error in your approximation of y(1)

Solve the initial value problem y′=3y2sinx,y(0)=4. y=?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 33 minutes ago

asked 50 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago