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This question is concerned with the differential equation 3d42 +24 dx + 750 = 0 dt2...
The velocity v in a fluid in a two dimensional model at any point (x,y) in...
The velocity v in a fluid in a two dimensional model at any point (x,y) in the flow is given by the function below. v=4x2y−32xy+48y−24x Find the stationary points for this function (I) Find the x coordinate of the stationary point with the larger x coordinate. Give your answer to AT LEAST FOUR PLACES OF DECIMALS. Type in the number only ie leave out the "x=" (4 marks) This question accepts numbers or formulas. Plot | Help | Switch to...
() attimet woma wo spring system, the displacements of the two masses are represented by (l)...
() attimet woma wo spring system, the displacements of the two masses are represented by (l) and The motion is governed by the following pair of second order simultaneous differential equations az + by zdy d2 where a -20, -3, -100,--25 (a) The system is initially released from rest. Find the partouw solutions to the differential equations which satisfy the initial displacements x For this part of the question give x as a function of t. Omit the "x "...
(1 point) If the differential equation d2x m 7 dx dt + 8x = 0 dt2...
(1 point) If the differential equation d2x m 7 dx dt + 8x = 0 dt2 is overdamped, the range of values for m is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6], etc.
Problem 2. (1 point) If the differential equation dx m dt2 *sor + 8x = 0...
Problem 2. (1 point) If the differential equation dx m dt2 *sor + 8x = 0 dt is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc.
(1 point) a. Consider the differential equation: d2y 0.16y-0 dt2 with initial conditions dt (0)-3 y(0)--1 and Find the...
(1 point) a. Consider the differential equation: d2y 0.16y-0 dt2 with initial conditions dt (0)-3 y(0)--1 and Find the solution to this initial value problem b. Assume the same second order differential equation as Part a. However, consider it is subject to the following boundary conditions: y(0)-2 and y(3)-7 Find the solution to this boundary value problem. If there is no solution, then write NO SOLUTION. If there are infinitely many solutions, then use C as your arbitrary constant (e.g....
Problem 1: Find the general solution for dx d?.x dt2 + 2k- + k.x = 0...
Problem 1: Find the general solution for dx d?.x dt2 + 2k- + k.x = 0 dt where k is an arbitrary constant. Problem 2: Find a differential equation with solution -2.x -23 y = e cos(x) +e sin(x). Hint: Use the property that i2 = = -1 to simplify your work.
(1 point) If the differential equation m d dt2 da +4 dt + 6x = 0...
(1 point) If the differential equation m d dt2 da +4 dt + 6x = 0 is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1.2), (1.2) (-inf 6), etc.
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential...
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
(1 point) If the differential equation d2x dt2 . dx + 6- m + 3x =...
(1 point) If the differential equation d2x dt2 . dx + 6- m + 3x = 0 dt is overdamped, the range of values for m is? (inf,3) Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc. (1 point) Write the given second order equation as its equivalent system of first order equations. u" + 3 + 7u = 0 Use v to represent the "velocity function", i.e. V = u(t). Use v...
Find the general solution to the homogeneous differential equation dạy dt2 229 dy dt + 117y...
Find the general solution to the homogeneous differential equation dạy dt2 229 dy dt + 117y = 0 The solution can be written in the form y = Cjepit + Czert with ri < r2 Using this form, r1 = and r2 = BE SURE TO WRITE THE SMALLER r FIRST!
() attimet woma wo spring system, the displacements of the two masses are represented by (l) and The motion is governed by the following pair of second order simultaneous differential equations az + by zdy d2 where a -20, -3, -100,--25 (a) The system is initially released from rest. Find the partouw solutions to the differential equations which satisfy the initial displacements x For this part of the question give x as a function of t. Omit the "x "...
(1 point) If the differential equation d2x m 7 dx dt + 8x = 0 dt2 is overdamped, the range of values for m is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6], etc.
Problem 2. (1 point) If the differential equation dx m dt2 *sor + 8x = 0 dt is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc.
(1 point) a. Consider the differential equation: d2y 0.16y-0 dt2 with initial conditions dt (0)-3 y(0)--1 and Find the solution to this initial value problem b. Assume the same second order differential equation as Part a. However, consider it is subject to the following boundary conditions: y(0)-2 and y(3)-7 Find the solution to this boundary value problem. If there is no solution, then write NO SOLUTION. If there are infinitely many solutions, then use C as your arbitrary constant (e.g....
Problem 1: Find the general solution for dx d?.x dt2 + 2k- + k.x = 0 dt where k is an arbitrary constant. Problem 2: Find a differential equation with solution -2.x -23 y = e cos(x) +e sin(x). Hint: Use the property that i2 = = -1 to simplify your work.
(1 point) If the differential equation m d dt2 da +4 dt + 6x = 0 is overdamped, the range of values form is? Your answer will be an interval of numbers given in the form (1.2), (1.2) (-inf 6), etc.
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
Pg 6 TTG1401/TG1401 Question 2 (25 marks) For a RCL circuit, the current I d2I(t) dl(t) 1 dt C is governed by the differential equation, dt2 V1 and V2 are constants. Solve the above differential equation for I(t)
(1 point) If the differential equation d2x dt2 . dx + 6- m + 3x = 0 dt is overdamped, the range of values for m is? (inf,3) Your answer will be an interval of numbers given in the form (1,2), (1,2), (-inf,6), etc. (1 point) Write the given second order equation as its equivalent system of first order equations. u" + 3 + 7u = 0 Use v to represent the "velocity function", i.e. V = u(t). Use v...
Find the general solution to the homogeneous differential equation dạy dt2 229 dy dt + 117y = 0 The solution can be written in the form y = Cjepit + Czert with ri < r2 Using this form, r1 = and r2 = BE SURE TO WRITE THE SMALLER r FIRST!
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