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

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
(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 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
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
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x...
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x − y 2) Solve the given differential equation by separation of variables. y ln(x) dx/dy = (y+1/x)^2 3) Find an explicit solution of the given initial-value problem. dx/dt = 7(x2 + 1),  x( π/4)= 1
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a...
B. a non-homogeneous differential equation, a complementary solution, and a particular solution are given. Find a solution satisfying the given initial conditions. y''-2y'-3y=6 y(0)=3 y'(0) = 11 yc= C1e-x+C2e3x yp = -2 C. a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions y'''+2y''-y'-2y=0, y(0) =1, y'(0) = 2, y''(0) = 0 y1=ex, y2=e-x,, y3= e-2x