Question

Solve the differential equations

(2D^2 + D - 3)y = 2x - 3x^2

Answer #1

(differential equations): solve for x(t) and y(t)
2x' + x - (5y' +4y)=0
3x'-2x-(4y'-y)=0
note: Prime denotes d/dt

Solve the differential equation
(2x+y′+3)y′′=3x+4y′−1

Solve the following differential equations using inspection:
1) y”+4y=12
2) y””+4y”+4y=-20
3) (D^4 -4D^2)y=24
4) y”-y=x-1
5) D(D-3)y=4
6) (D^2+2D-8)(D+3)y=0
7) y”-y’-2y=18xe^(2x)

solve the following system of differential equations
and find the general solution
(D+3)x+(D-1)y=0 and 2x+(D-3)y=0
please show the steps

solve these differential equations and state the equilibrium
solutions if any exist.
y'= x^2 +2x + 1
f'(x)=e^x +1
y'= sinx + x

solve the equations
a). 4x-(-3x-3) =2x +1-1/2x+1
b) 8x-x^2=2 solvee by completing square
c) x-2x^2=5 solve by quadraticformula

for 10-12 you will solve the following system of equations:
2x+y+z=-2 2x-y+3z=6 3x-5y+4z=7 10) what is the solution for x? a)2
b)-3 c)infinitely many solutions d)no solution 11) what is the
solution for y? a)2 b)0 c)inifinitely many solution d)no solution
12) what is the solution for z? a)4 b)-8 c)infinitely many
solutions d)no solutions

solve the initial value problem: 2x-3e^(3x)y-e^(3x)y'=0
y(0)=2

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

find y' for the function
1. (y-2)^7=3x^2+2x-2
2. 3y^3+2x^3=3
3.(4y^2+3)^4+3x^5-5=0
4. 4x^2+3x^2y^2-y^3=3x

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