Question

Find the General Solution of the Differential Equation (y' =
dy/dx) of

xy' = 6y+9x^{5}*y^{2/3
I understand this is done with Bernoullis Equation but I can't seem
to algebraically understand this.}

Answer #1

If you have any questions please let me know

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(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

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

Find the general solution of the given differential equation
(x+!) dy/dx + (x+2)y = 2xe^-x
y = ______
Determine whether there are any transient terms in the general
solution.

Find the solution of the following differential
equation:
(?^3 y/dx^3)-7(d^2 y/dx^2)+10(dy/dx)=e^2x sinx

Solve the differential equation
a2 (dy - dx) = x2 dy + y2
dx
a is a constant

Find the general solution to the differential equation
dy/dx=sinxcos2xtany.
(Hint: If you have forgotten the integral of cotangent, use u
substitution

Solve the given differential equation
y-x(dy/dx)=3-2x2(dy/dx)

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.

Find the power series solution of the differential equation
y"-xy'+6y=0 about the ordinary point x=0

solve the differential equation...
(x2-1)(dy/dx)+xy=0

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