Find the solution to the differential equation
dzdt=3te6z
that passes through the origin.
z=
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Find the solution to the differential equation dzdt=3te6z that passes through the origin. z= You have...
(1 point) Find the solution to the differential equation i = 6teóz that passes through the origin. z =
Previous Problem Problem List Next Problem (1 point) Find the solution to the differential equation dz dt = 3te42 that passes through the origin. z = Preview My Answers Submit Answers
Previous Problem List Next (1 point) if y = as is a solution to the differential equation đ -114 + y = 0, find the value of the constant k and the general solution to this equation. k= 30 y= A exp(5t)+B exp(5t) (Use constants A, B, etc., for any constants in your solution formula.) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score...
Question 3 a) Find the cartesian equation of the line that passes through the origin and lies perpen- (3 dicular to the plane 3x - 5y +2z 8. marks] b) Find the cartesian equation of the plane that lies perpendicular to the line 3 marks] and passes through the point 1 cExplain why a unique plane passing through the three points A(-2,-1,-4), B(0,-3,0) [2 marks) and C(2,-5,4) cannot be defined.
Question 3 a) Find the cartesian equation of the line...
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
(1 point) The differential equation y" - 2ay' – 2y = el (0) --2,5/(0) - 3 has a power series solution about == 0 of the form The first six coefficients are Note: You can earn part of credit on this problem Preview My Answers Submit Answers times. You have attempted this problem You have s attempts remaining
Consider the differential equation: d y 6y--6 exp-2). d t 6.1 (1 mark) Find a solution of the form y(t) - Cp exp(-2t) for this differential equation, and enter the value of Cp below. You have not attempted this yet 6.2 (1 mark Any solution yh of d yh d t is of the form C exp(r t) for an appropriate value of r. What r? Remark. The general solution of the differential equation labelled (1) above is y(t) ....
Find the equation of the plane that passes through the ine of intersection of planes x+z=1 and y+2z=3 and is orthogonal to the plane x+y+z=34256. Express your answer in general form.
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...
Problem 4: (a) (5 points) Find the equation for the line that passes through the points (-4,-2) and (8, 1). Write your equation in se form, slope-intercept form, or point- slope form. (Extra Credit: Write the equation for the line in all three forms) (b) (5 points) Graph the line. Problem 5: (10 points) Find the equation for the line passing through the point (3.2) and perpendicular to the line y = ',x + 7. The the line Problem 6:...