Verify that the vector X is a solution of the given homogeneous system. -1 X' = 4 X; x = -3t/2 1 (*) For X = e-3t/2 , one has X' = -1 1 Since the above expressions --Select-- X = e-3t/2 is a solution of the given system.

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A: The given system of equation can be written as:

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

A:

Q: Solve the linear system by Variation of Parameters x' = Ax +b, A= -1 b = x(t) = 2

A:

Q: Solve the system +x2 +3x3 1 | 3x1 +2x2 -3x3 3 x2 +s 3.

A:

Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

A:

Q: 1. 5х2у" + 23ху' + 16.2у —D 0 2. х?у" + 0.7ху' — 0.1у %3D 0 3. х2у" — 0.7ху — 0.1у %3D0 |

A: Given

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A: To find the solution of a system of equation is the values of the unknown for which the system of…

Q: Find the solution of the system of equations below: X; x(0) = (²) x' = (²-3)x;

A:

Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

A:

Q: Linearize the non-linear equations: 1. y= a+ bx+cx^2 2. y=x/(a+bx) + c

A: According to the given information it is required to linearize the given non-linear equations.

Q: Find etª if: By the solution of the linear Please show all the steps 4 -3 ^(²/³) A 2 −1. system X' =…

A:

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

A:

Q: Max Z = 3x1 +5xz+ 4x3 2x1 +3x2 + 0x3s8 3x1 +2x2 + 4x33s 15 Ox11 + 2xz + 5x3 10 X1, X2.x3 all 2 0.

A:

Q: Find the valve of k for which the X,+2x2-3as= -2 3x, - X2 - 223=1 22, + 3x2-Sxz =K System of…

A:

Q: Sketch 3D graph of following region and compute the triple integral using cylindrical coordinates xz…

A: Given the triple integral, ∫-22∫-4-y24-y2∫x2+y22xzdzdxdy So the region is; x,y,z∈ℝ3 : -4-y2≤x≤4-y2,…

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

A:

Q: Find two linearly independent solutions of y" + læy = 0 of the form Y1 1+ azx* + a6x® + ... Y2 = x +…

A:

Q: Solve for the 'y' with the given below in system of equations: Equation 1: x + 2y + 3zi = 20 + 5i

A: Given:  Equation 1: x + 2y + 3zi = 20 + 5i find the value of y

Q: Let x1 and x2 be two different solutions of the following linear equation system. Here, if x1 =…

A: Actually xd is the solution of the homogeneous system. Since x1 and x2 both are solution of the…

Q: If (x1 , y1) = (-3, 1) and (x2 , y2) = (-2, 4), find (y2 - y1) / (x2 - x1)

A: Given, x1, y1=-3, 1x2, y2=-2, 4

Q: Find the General Solution of the system Y' = AY (-3 2 3. 2 -3 2 4 =1, 1, = 2, =-5 2 2-3

A: We need to find the solution of Y'→=AY→ . Now , we have a matrix ,  A=-3222-3222-3 To simplify , we…

Q: Find the solution of: -1,8 0 5,3 -1 4 X' = 1 -2 -3 X 1 -3,4 4 -2,8 1,5 1 1.

A: Given system is X'=102-1.8005.30-141-2-30001-3.440-2.8001.51X Let…

Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

A: We have to verify that y=-4e-x-2e-2x+2x2-6x+7 is a solution of the ordinary differential equation…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.