Homogenous equation
1. (2x – y) y = 4y – 3x, y(0) = 2
Find dy/dx: y=(2x+1)2(3x)2
Graph the system of Linear Inequalities: Y>-2x+1 Y-3x < -4
& 2x-5y = 8 y = 3x+1
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines
Which of the following is solution for (x^2 + y^2) dx +2xydy= 0? xy^2+1/3x^3=c x^2y+1/3x^3=c xy^2+1/2x^3=c x^2y+1/2x^3=c
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
Solve x′ =2x+y, x(0)=1 y′ =3x+4y, y(0)=0
Find the absolute extrema of the function on the closed interval.
y= 3x^2/3- 2x, [-1, 1]
3. [-16 Points] DETAILS LARCALC11 3.1.029. Find the absolute extrema of the function on the closed interval. y = 3x2/3 - 2x, (-1, 1] minimum (x, y) = maximum (x, y) = Show My Work (Optional) Submit Answer View Previous Question Question Home My Assignments Copyright © 2020 Cengage E Type here to search a
2. Consider the homogeneous equation r2y"- (3r2 2x)y (3x + 2)y= 0. (a) Verify that y = x is a solution to the homogeneous equation. (b) Use reduction of order to find the general solution.