Solve the system dx dt x(0) with the initial value 0 1 [B] [8] = -12 5 x(t) = = -30 13 x

Q: J(x-3x)dx = x' 3x +C 2 -3х + С 4 b. 3x-3+C 3x+C 4 4x* -6x +C

A:

Q: Solve 4xx = ut + tx u(x, 0) = 0

A: The provided partial differential equation (PDE) describes a transport phenomenon represented by the…

Q: 27t3- 1 dt

A:

Q: Solve   f(x) = 0-3e-1

A: Given that fx=0-3e-1   Using calculator, we get fx=0-3e-1=-3e=-1.103

Q: SOLVE

A:

Q: Solve the equation x*ydx +(y-x² )dy = 0.

A:

Q: 4t 3. -2

A:

Q: solve for (D³ -9D)y=0

A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

Q: 2 X 2.- (D*- 4D +4)y = x *

A:

Q: 1.- Solve S² (4-x-y) dxdy

A: ∫02​∫01​(4−x−y)dxdy Integrate with respect to x treating y as constant and then with respect to…

Q: (x+1) dx V 8+2x-X²

A: ∫x+18+2x-x2dx

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

A:

Q: e) Solve [(-x'y)² + (x²y)³]²

A:

Q: t-1+2 dt

A:

Q: v2,

A: We use Pythagoras theorem

Q: Solve for the general solution (D4 – 16)y = x* + x + 1

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

A:

Q: Find if y=e²x + 2ex+x²e + e² dx

A: y=e2x +2ex+x2e+e2

Q: Solve (x-1)' +(x-2)'+(x - 3)' +(x + 4)' +(x + 5)' = 0

A: The solution for the above question is as shown below.

Q: Solve for X X(A-B) = M(X-C)

A: Given:

Q: -5x +3x – 28 dx (x – 1)(x² + 9)

A:

Q: Solve y+y = 1, y (0) = 4 Oy² = 1 +7e-² Oy = 1+7e-² Oy² = 1 +7e-² Oy = 1+5e-² Oy = 1+7e²

A:

Q: 2x-3y=1 -6x+9y=-3

A:

Q: 1/3+2/k=13/3k

A:

Q: (i) Y = ax + b

A: