Solve the given initial value problem. dx = 3x + y - e 3t. dt x(0) = 2 dy = x + 3y; dt y(0) = - 3 The solution is x(t) = and y(t) = 0
solve this system of equations using Cramers rule 1)find D,Dx,Dy,and Dr 2)find x,y and z problem: x-2y+2z=9 3x+2y-4z=7 3y+5z=-1
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =
2. Solve the DE: (3x²y + cos x) dx +(x +e") dy = 0
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Solve the Bernoulli equation a) xy′−4y = x^2√y, b) y′ = y(y^3 cosx +tgx), Solve the exact equation a) 2xcos^2 ydx +(2y−x2sin2y)dy = 0, b) (x^3 −3xy^2 +2)dx−(3x^2y−y^2)dy = 0, PLEASEEE it would mean a world to me
solve the following differential equations (e* + 2y)dx + (2x – sin y)dy = 0 xy' + y = y? (6xy + cos2x)dx +(9x?y? +e")dy = 0 +2ye * )dx = (w*e * -2rcos x) di
a - e (a) X + y +z = 11 X – Y – 2= -3 -2 + y - 2 = 5 (3x – y + 2z = 2 (b) x+y+z+t+p=17 X - Y - 2-t-p= -5 z +t+ p + y = 11 p - x - y = 1 -t + x = 10 (c) x +y + 2+t= -6 X - Y - 2 -t = 20 y - X=-39 2x + 3t + y -...
Please solve this problem by hand calculation. Thanks Consider the following system of two ODES: dx = x-yt dt dy = t+ y from t=0 to t = 1.2 with x(0) = 1, and y(0) = 1 dt (a) Solve with Euler's explicit method using h = 0.4 (b) Solve with the classical fourth-order Runge-Kutta method using h = 0.4. The a solution of the system is x = 4et- 12et- t2 - 3t - 3, y= 2et- t-1. In...
please solve with mathlab and post screenshots of the code 10.y" + 2y' +10y -6e sin(3t),y(0) 0,y'(0) 1 10.y" + 2y' +10y -6e sin(3t),y(0) 0,y'(0) 1