Question

Solve x^2y’’-4xy’+6y=ln(x^2)

Answer #1

solve this series
1. 2y'' - 3xy = 0
2. (x2+1)y'' - 4xy' + 6y = 0

Use Cramer’s Rule to solve the system. x − 6y = 3 3x + 2y =
1

Solve the differential equation:
a) y'= t^2y^3 / t^3+6
b) y'= x(e^x^2 +2) / 6y^2 ; y(0) =1

In Exercises 31-42, solve the initial value problem.
3(x^(2))y''-4xy'+2y=0, y(1)=2, y'(1)=1

1) Solve by Substitution.
{x+2y=−1
{-6y=3+3x
a) One solution:
b) No solution
c) Infinite number of solutions
2) Solve by Substitution
{4x+y=−15
{2y=-27-8x
a) One solution:
b) No solution
c) Infinite number of solutions
3) Solve the system by elimination.
{−x−2y=4
{2x+2y=-8
a) One solution:
b) No solution
c) Infinite number of solutions

Solve the following Bernoulli equation.
(x^2)y' + 4xy = 9^3
Answer: y = +/- (_______)

find the absolute maximum value and absolute minimum values of
the function f(x,y)4xy^2-x^2y^2-xy^3 on the set D, where D is the
closed trianglar region in the xy-plane with certices
(0,0)(0,6)(6,)0

1. Solve the following system of equations by the elimination
method:
2x+y-z=7
x+2y+z=8
x-2y+3z=2
2. Solve the following system of equations by using row
operations on a matrix:
2x+y-z=7
x+2y+z=8
x-2y+3z=2

Find the derivative of the given expression.
f(x)=17x^2+ln(x^3)
f'(x)=
Solve the following equation for x:
ln(x−4)+ln(x−2)=ln(8)ln(x−4)+ln(x−2)=ln(8)
If more than one solution exists, separate your answers with a
comma.

solve the differential equation
(2y^2+2y+4x^2)dx+(2xy+x)dy=0

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