Question

Are both of the following IVPs guaranteed a unique solution? Explain. (a) dy/dt =y^ 1/3sin(t), y(π/2)=0....

  1. Are both of the following IVPs guaranteed a unique solution? Explain. (a) dy/dt =y^ 1/3sin(t), y(π/2)=0. (b) dy/dt =y^1/3 sin(t), y(π/2)=4.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the general solution to the following: [(e^t)y-t(e^t)]dt+[1+(e^t)]dy=0
Find the general solution to the following: [(e^t)y-t(e^t)]dt+[1+(e^t)]dy=0
a). Find dy/dx for the following integral. y=Integral from 0 to cosine(x) dt/√1+ t^2 , 0<x<pi  ...
a). Find dy/dx for the following integral. y=Integral from 0 to cosine(x) dt/√1+ t^2 , 0<x<pi   b). Find dy/dx for tthe following integral y=Integral from 0 to sine^-1 (x) cosine t dt
Find the general solution of the equation. d^2y/dt^2-2t/(1+t^2)*dy/dt+{2/(1+t^2)}*y=1+t^2
Find the general solution of the equation. d^2y/dt^2-2t/(1+t^2)*dy/dt+{2/(1+t^2)}*y=1+t^2
find the solution for the DE dy/dt +ty^3 +y/t = 0 answer explicitly if passible
find the solution for the DE dy/dt +ty^3 +y/t = 0 answer explicitly if passible
1. Solve the following differential equations. (a) dy/dt +(1/t)y = cos(t) +(sin(t)/t) , y(2pie) = 1...
1. Solve the following differential equations. (a) dy/dt +(1/t)y = cos(t) +(sin(t)/t) , y(2pie) = 1 (b)dy/dx = (2x + xy) / (y^2 + 1) (c) dy/dx=(2xy^2 +1) / (2x^3y) (d) dy/dx = y-x-1+(xiy+2) ^(-1) 2. A hollow sphere has a diameter of 8 ft. and is filled half way with water. A circular hole (with a radius of 0.5 in.) is opened at the bottom of the sphere. How long will it take for the sphere to become empty?...
Find the general solution. Explain and show all steps. [(e^t)y - t(e^t)] dt + [1 +...
Find the general solution. Explain and show all steps. [(e^t)y - t(e^t)] dt + [1 + (e^t)] dy = 0
MATLAB Create an M-File for this IVP, dy/dt = t^2 - 16*sin(t), y(0) = 0 and...
MATLAB Create an M-File for this IVP, dy/dt = t^2 - 16*sin(t), y(0) = 0 and create an anonymous function g so that it evaluates the slope field at points of our new ODE. Ensure you use commands of using a for loop to plot the exact solution for the IVP in this exercise as well as the Euler approximations for Δt=0.5, Δt=0.25, and Δt=0.125 all on the same graph.
Solve the initial value problem t^(13) (dy/dt) +2t^(12) y =t^25 with t>0 and y(1)=0 (y'-e^-t+4)/y=-4, y(0)=-1
Solve the initial value problem t^(13) (dy/dt) +2t^(12) y =t^25 with t>0 and y(1)=0 (y'-e^-t+4)/y=-4, y(0)=-1
dy/dt=x , dx/dt=6x-8y, x=1 and y=-1 when t=0
dy/dt=x , dx/dt=6x-8y, x=1 and y=-1 when t=0
Consider the linear system dY/dt=(0 2 −2 −1)Y (a) Find the general solution. (b) Find the...
Consider the linear system dY/dt=(0 2 −2 −1)Y (a) Find the general solution. (b) Find the particular solution with the initial value Y0=(−1,1).