Question

Find all solutions to the differential equations. (a) x^2 yy' = (y^2 − 1)^(3/2) (b) y'...

Find all solutions to the differential equations.

(a) x^2 yy' = (y^2 − 1)^(3/2)

(b) y' = 6xe^(x−y)

(c) y' = (2x − 1)(y + 1)

(d) (y^2 − 1) dy/dx = 4xy^2

Leave your answer as an implicit solution

Homework Answers

Answer #1

Solve using basics of differential equations

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
3. Consider the differential equation: x dy/dx = y^2 − y (a) Find all solutions to...
3. Consider the differential equation: x dy/dx = y^2 − y (a) Find all solutions to the differential equation. (b) Find the solution that contains the point (−1,1) (c) Find the solution that contains the point (−2,0) (d) Find the solution that contains the point (1/2,1/2) (e) Find the solution that contains the point (2,1/4)
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
(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- Solve Ordinary Differential Equations A) (xˆ2 + 1) y '+ 4xy = x B) y...
1- Solve Ordinary Differential Equations A) (xˆ2 + 1) y '+ 4xy = x B) y '+ ((2x + 1) / x) y = exp (-2x) C) y '+ y = sen (x) D) y'-2xy = x
(* 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
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
Consider x^2 +sin(y)=4xy^2 +1 a.)Use Implicit differentiation to find dy/dx b.) find an equation tangent of...
Consider x^2 +sin(y)=4xy^2 +1 a.)Use Implicit differentiation to find dy/dx b.) find an equation tangent of the line to the curve x^2 +sin(y)=4xy^2 +1 at (1,0)
(Part 1) Find all of the solutions of the given differential equations: a.) y' = -2y...
(Part 1) Find all of the solutions of the given differential equations: a.) y' = -2y (answer should be y = -(1 / ln2) * ln(t * ln(2) + c)) (Part 2) Find the solution of the IVP: b.) y' = -2y3, y(0) = 0 c.) y' = 1 + cos(y), y(0) = pi / 2 (answer should be y(t) = 2arctan(1 + t)) d.) y' = sqrt(1 - y2), y(0) = 0 (Hint: y' > 0) Please show work!
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 following differential equations. a.) dy/dx+2xy=x, y(0)=2 b.) ?^2(dy/dx)−?y=−y^2
Solve the following differential equations. a.) dy/dx+2xy=x, y(0)=2 b.) ?^2(dy/dx)−?y=−y^2