Question

Consider the initial value problem y′ = (1+t)/(1+y) y(1) = 2 t is within [1,2] Show...

Consider the initial value problem

y′ = (1+t)/(1+y)

y(1) = 2

t is within [1,2]

Show that y(t) = -1+(t^2 + 2t + 6)^1/2  is the solution to the initial value problem.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
6.                  Consider the initial value problem                   &
6.                  Consider the initial value problem                                            y'’ + 2y’ + 2y = δ(t − π);           y(0) = 0, y’(0) = 1. a.    Find the solution to the initial value problem. b.    Sketch a plot of the solution for t ∈ [0,3π]. c.    Describe the behavior of the solution. How is this system damped?
B1. Consider the initial value problem given by y 0 (t) = sin2 (y) ln(t +...
B1. Consider the initial value problem given by y 0 (t) = sin2 (y) ln(t + 1), with the initial condition y(0) = 1. Perform three iterations of Midpoint Method, using a step size of h = 1 3 , to obtain an estimate of the solution at t = 1.
find y(t) solution of the initial value problem y'=(2y^2 +bt^2)/(ty), y(1)=1 t>o
find y(t) solution of the initial value problem y'=(2y^2 +bt^2)/(ty), y(1)=1 t>o
Consider the initial value problem dy dx = 1−2x 2y , y(0) = − √2 (a)...
Consider the initial value problem dy dx = 1−2x 2y , y(0) = − √2 (a) (6 points) Find the explicit solution to the initial value problem. (b) (3 points) Determine the interval in which the solution is defined.
Consider the initial value problem y' + 5 4 y = 1 − t 5 ,    y(0)...
Consider the initial value problem y' + 5 4 y = 1 − t 5 ,    y(0) = y0. Find the value of y0 for which the solution touches, but does not cross, the t-axis. (A computer algebra system is recommended. Round your answer to three decimal places.) y0 =
Consider the initial value problem: y' - (7/2)y = 7t + 2e^t Initial condition: y(0) =...
Consider the initial value problem: y' - (7/2)y = 7t + 2e^t Initial condition: y(0) = y0 a) Find the value of y0 that separates solutions that grow positively as t → ∞ from those that grow negatively. (A computer algebra system is recommended. Round your answer to three decimal places.) b) How does the solution that corresponds to this critical value of y0 behave as t → ∞? Will the corresponding solution increase without bound, decrease without bound, converge...
1)Consider the following initial-value problem. (x + y)2 dx + (2xy + x2 − 2) dy...
1)Consider the following initial-value problem. (x + y)2 dx + (2xy + x2 − 2) dy = 0,   y(1) = 1. Let af/ax = (x + y)2 = x2 + 2xy + y2. Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. f(x, y) =   + h(y) Solve the given initial-value problem. 2) Solve the given initial-value problem. (6y + 2t − 3) dt + (8y + 6t − 1) dy...
1)  Consider the following initial-value problem. (x + y)2 dx + (2xy + x2 − 2) dy...
1)  Consider the following initial-value problem. (x + y)2 dx + (2xy + x2 − 2) dy = 0,   y(1) = 1 Let af/ax = (x + y)2 = x2 + 2xy + y2. Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y. f(x, y) =    + h(y) Find the derivative of h(y). h′(y) = Solve the given initial-value problem. 2) Solve the given initial-value problem. (6y + 2t − 3) dt...
transform the given initial value problem into an algebraic equation for Y = L{y} in the...
transform the given initial value problem into an algebraic equation for Y = L{y} in the s-domain. Then find the Laplace transform of the solution of the initial value problem. y'' + 4y = 3e^(−2t) * sin 2t, y(0) = 2, y′(0) = −1
Use Laplace Transforms to solve the given initial value problem y''-4y'+4y=t^3e6(2t) y(0)=1 and y'(0)=-2
Use Laplace Transforms to solve the given initial value problem y''-4y'+4y=t^3e6(2t) y(0)=1 and y'(0)=-2
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT