Question

Sketch the slope field for y′ = y − t 2 as well as solutions that...

Sketch the slope field for y′ = y − t 2 as well as solutions that satisfy initial conditions (a) y(0) = −1, (b) y(0) = 0, (c) y(0) = 1.

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

Homework Answers

Answer #1

Sketch the slope field for y′ = y − t 2 as well as solutions that satisfy initial conditions (a) y(0) = −1, (b) y(0) = 0, (c) y(0) = 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
1. By hand, sketch the slope field for the DE x ′ = x(1 − x/4)...
1. By hand, sketch the slope field for the DE x ′ = x(1 − x/4) in the window 0 ≤ t ≤ 8, 0 ≤ x ≤ 8 at the integer lattice points. What is the value of the slope field along the lines x = 0 and x = 4? Show that x(t) = 0 and x(t) = 4 are constant solutions to the DE. 2. Draw several isoclines of the differential equation x ′ = x 2...
1. Sketch the direction field for the following differential equation dy dx = y − x....
1. Sketch the direction field for the following differential equation dy dx = y − x. You may use maple and attach your graph. Also sketch the solution curves with initial conditions y(0) = −1 and y(0) = 1.
Consider the differential equation dy/dx= 2y(x+1) a) sketch a slope field b) Show that any point...
Consider the differential equation dy/dx= 2y(x+1) a) sketch a slope field b) Show that any point with initial condition x = –1 in the 2nd quadrant creates a relative minimum for its particular solution. c)Find the particular solution y=f(x)) to the given differential equation with initial condition f(0) = 2 d)For the solution in part c), find lim x aproaches 0 f(x)-2/tan(x^2+2x)
Given dy/dx =y(y−3)(1−y)^2 dx (a) Sketch the phase line (portrait) and classify all of the critical...
Given dy/dx =y(y−3)(1−y)^2 dx (a) Sketch the phase line (portrait) and classify all of the critical (equilibrium) points. Use arrows to indicated the flow on the phase line (away or towards a critical point). (b) Next to your phase line, sketch the graph of solutions satisfying the initial conditions: y(0)=0, y(0)=1, y(0)=2, y(0)=3, y(2)=4, y(0)=5.
How many solutions of the equation y^(3) = x + cos(x) satisfy the following initial conditions:...
How many solutions of the equation y^(3) = x + cos(x) satisfy the following initial conditions: y(0) = y ′ (0) = y^((2))(0) = 0.5
Use a slope field plotter to plot the slope field for the differential equation dy/dx=sqrt(x-y) and...
Use a slope field plotter to plot the slope field for the differential equation dy/dx=sqrt(x-y) and plot the solution curve for the initial condition y(2)=2
sketch the slope field and some representative solution curves for the given differential equation y′ =x+y...
sketch the slope field and some representative solution curves for the given differential equation y′ =x+y Please explain I would like to understand the concept please not just the answer. per the solution book, I dont understand why the solution after the table uts y=-x+1 and after fiferentiate how is the answer 1+x+y and why do we integrate at the end thank you!
1. Solve the following IVP's given the initial conditions: a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ;...
1. Solve the following IVP's given the initial conditions: a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ; y(0) = 2 b) x' - 2x = (et)(cos(t)) ; x(0) = 5 c) dx/dt + (1/t)x = ln(t) ; x(1) = 1/2
Logistic Equation The logistic differential equation y′=y(1−y) appears often in problems such as population modeling. (a)...
Logistic Equation The logistic differential equation y′=y(1−y) appears often in problems such as population modeling. (a) Graph the slope field of the differential equation between y= 0 and y= 1. Does the slope depend on t? (b) Suppose f is a solution to the initial value problem with f(0) = 1/2. Using the slope field, what can we say about fast→∞? What can we say about fast→−∞? (c) Verify that f(t) =11 +e−tis a solution to the initial value problem...
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty =...
Solve the following differential equations 1. cos(t)y' - sin(t)y = t^2 2. y' - 2ty = t Solve the ODE 3. ty' - y = t^3 e^(3t), for t > 0 Compare the number of solutions of the following three initial value problems for the previous ODE 4. (i) y(1) = 1 (ii) y(0) = 1 (iii) y(0) = 0 Solve the IVP, and find the interval of validity of the solution 5. y' + (cot x)y = 5e^(cos x),...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT