13. Solve the following systems of differential equations. r' = x +y, y' = 3.x –...
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
exact differential equations
2. Solve the initial value problem: (2.1 – y) + (2y – r)y' = 0) with y(1) = 3. 3. Find the numerical value of b that makes the following differential equation exact. Then solve the differential equation using that value of b. (xy? + br’y) + (x + y)x+y = 0
Name Date Period Kuta Software Solving Systems of Equations by Substitution Solve each system by substitution. 1) y=6x-11 2) 2x - 3y = -1 -2x - 3y =-7 y=x-1 3) y=-3x + 5 5x - 4y=-3 4) -3x – 3y = 3 y=-5x-17 5) y=-2 4x - 3y = 18 6) y = 5x - 7 -3x - 2y=-12 7) y=-3x - 19 5x + 8y = 0 8) y = 5x - 3 -x + 7y=-21
3. Solve the system of differential equations X'= 3x+y y = x+3y
Solve systems of equations in two variables by substitution Question Solve the following system of equations. {-sit x=y - 2 -5x + 3y = 8 Give your answer as an ordered pair (a, b).
Solve the differential equations ?
Problems: Solve the following differential equations, 1) V1+x?.y?-3xV/y2 -1=0.
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
1. For the following two systems of linear equations answer the questions 4 + x + 2xy + 2x - 6 3x + 2x + 3x3 + 3x = 11 2x + 2x + 3.5+ 2x- 9 2x + 2x+4x3+5x - 13 3x, +2, +4x3+4x-13 3x+3x+3x2+2x, -11 (1) Solve the above systems of linear equations using naive Gauss elimination (b) solve the above systems of linear equations using Gauss elimination with partial pivoting . Axb 2. For the following matrix...
3. (25 points) Solve the following differential equations by using variation of parameters. y" + y = sec x -
1. Solve the following differential equations: a. xy'=y+Vxy x+2y+3 y'= b. 2x – y +5 x+2y+3 y'= x+2y+5 y cos(x+y)+x+y d. sin(x + y) + y cos(x+y)+x+y C. y'=