Question

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= ?

Answer #1

Use the method for solving equations of the form
dy/dx=G(ax+by)
to solve the following differential equation.
dy/dx=2sin(4x-2y) ignore lost solutions and give implicit
solution in the form F(x,y)=c

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.

Use the method for solving Bernoulli equations to solve the
following differential equation
dx/dy+5t^7x^9+x/t=0
in the form F(t,x)=c

Use the method for solving Bernoulli equations to solve the
following differential equation.
(dy/dx)+4y=( (e^(x))*(y^(-2)) )
Ignoring lost solutions, if any, the general solution y=
______(answer)__________
(Type an expression using x as the variable)
THIS PROBLEM IS A DIFFERENTIAL EQUATIONS PROBLEM. Only people
proficient in differential equations should attempt to solve.
Please write clearly and legibly. I must be able to CLEARLY read
your solution and final answer. CIRCLE YOUR FINAL ANSWER.

Homogeneous Differential Equations:
dy/dx = xy/x^(2) - y^(2)
dy/dx = x^2 + y^2 / 2xy

Solve the following:
(3x^2 - y^2)dx + (xy - x^3y^-1)dy = 0

Solve the equation.
(2x^3+xy)dx+(x^3y^3-x^2)dy=0
give answer in form F(x,y)=c

solve differential equation ((x)2 - xy +(y)2)dx - xydy
= 0
solve differential equation (x^2-xy+y^2)dx - xydy =
0

Solve the following differential equations.
a.) dy/dx+2xy=x, y(0)=2
b.) ?^2(dy/dx)−?y=−y^2

Solve the given differential equations:
a) dy/dx=(x+1)^2
b) (x+1)dy/dx-xy=x^2+x

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