Solve the given initial value problem. y'' – 4y'' +10y' - 12y = 0; y(0) = 1, y'(0) = 0, y''(O) = 0 y(t)=
Solve the system. 4x - 9y = 3 -6x + 12y = 6 {(-15, -7)} {(7,4)} {(-1,7)} {(-7, - 3)}
ZIDIEQ9 4.9.002 Solve the given system of differential equations by systematic ellmination. = 6x + 10y dt dy dt
7. Continuing Problem 6, consider the simultaneous equations 6x + 4y + 132 = 5, 9x + 6y = 7, 12x + 8y – z = 12 (mod m) For which values of m > 2 will the equations be consistent?
All 1. Consider the parabola 2 - 6x +10y - 1 = 0. () Find the vertex, focus, directrix, and axis of symmetry of the parabola. (b) Sketch the graph of the parabola. 2. Consider the ellipse 9x2 + 25y2 + 361 - 150y +36 = 0. (a) Find the center, vertices and foci of the ellipse. (b) Sketch the graph of the parabola. (b) Sketch the graph of the hyperbola. 3. Consider the hyperbola r? - 4y? +43 +...
Find A PARTICULAR SOLUTION FOR CHINT: xz yu - 6x y' +4y= 3x"? (TRY ) y= Ax!/3 (6 fino A PARTICULAR SOLUTION FOR: y"-44'-12y = 22% (-3x2+4x+5) Hint : TRY y = 2 e2x THEN 205 € U= AX2+BX+C
2. (2 pts) Determine the type of the critical point (0,0) for the system x' =-7x+ 5y, y' =-6x 4y. Sketch a phase portrait based on the eigenvectors, and the direction that the sign of the eigenvalue indicates. 2. (2 pts) Determine the type of the critical point (0,0) for the system x' =-7x+ 5y, y' =-6x 4y. Sketch a phase portrait based on the eigenvectors, and the direction that the sign of the eigenvalue indicates.
2. x" + 6x' + 18x sin 2t, x(0) = -1, x'0) = 1.
Write the augmented matrix of the given system of equations. | x-4y = 9 6x + 5y = 7 The augmented matrix is
ıt means solve the equation system 2) 3w - x + 12y + 18z = -4 w-2x + 4y + 112 = -13 w + x + 4y + 2z = 8 Denklem sisteminin çözümünü bulunuz.