Question

Find a particular solution to each of the following differential equations with the given initial condition:...

Find a particular solution to each of the following differential equations with the given initial condition:

A) dy/dx=ysinx/1+y^2, y(0)=1

B)dy/dx=xy ln x, y(1)=3

C)xy(1+x^2) dy/dx=(1+y^2), y(1)=0

Math   Calculus   
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
(61). (Bernoulli’s Equation): Find the general solution of the following first-order differential equations:(a) x(dy/dx)+y= y^2+ln(x) (b)...
(61). (Bernoulli’s Equation): Find the general solution of the following first-order differential equations:(a) x(dy/dx)+y= y^2+ln(x) (b) (1/y^2)(dy/dx)+(1/xy)=1
1. Find the general solution of each of the following differential equations a.) y' − 4y...
1. Find the general solution of each of the following differential equations a.) y' − 4y = e^(2x) b.) dy/dx = 1/[x(y − 1)] c.) 2y'' − 5y' − 3y = 0
1- Find the solution of the following equations. For each equation, 2- determine the type of...
1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to. 1. y/x cos y/x dx − ( x/y sin y/x + cos y/x ) dy = 0 2. x(1 − y^2 )dx + y(8 − x^2 )dy = 0 3. (x^2 − x + y^2 )dx − (e^y − 2xy)dy = 0 4. 2x sin 3ydx + 3x^2 cos 3ydy = 0 5. (x ln x −...
Use the method for solving homogeneous equations to solve the following differential equation. (9x^2-y^2)dx+(xy-x^3y^-1)dy=0 solution is...
Use the method for solving homogeneous equations to solve the following differential equation. (9x^2-y^2)dx+(xy-x^3y^-1)dy=0 solution is F(x,y)=C, Where C= ?
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *)...
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *) \ (* Use mathematica to determin if they are in Exact form or not. If they are, use CountourPlot to graph the different solution curves 3.a 3x^2+y + (x+3y^2)dy /dx=0 3.b cos(x) + sin(x) dy /dx=0 3.c y e^xy+ x e^xydy/dx=0
3. Find the general solution to the differential equation: (x^2 + 1/( x + y) +...
3. Find the general solution to the differential equation: (x^2 + 1/( x + y) + y cos(xy)) dx + (y ^2 + 1 / (x + y) + x cos(xy)) dy = 0
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0...
Solve the Homogeneous differential equation (7 y^2 + 1 xy)dx - 1 x^2 dy = 0 (a) A one-parameter family of solution of the equation is y(x) = (b) The particular solution of the equation subject to the initial condition y(1) =1/7.
1- Find the solution of the following equations. For each equation, 2- determine the type of...
1- Find the solution of the following equations. For each equation, 2- determine the type of the category that the equation belongs to. 1. x(1 − y^2 )dx + y(8 − x^2 )dy = 0 2. (x^2 − x + y^2 )dx − (e^y − 2xy)dy = 0
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)
Find the general solution to the given differential equation. Then, use the initial condition to find...
Find the general solution to the given differential equation. Then, use the initial condition to find the corresponding particular solution. ?′−4? = 5?^4? ; ?(0) = 0
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT