Solve the initial value problem y = (x – 1)(y – 6), y(0) = 5. y =
6. Solve the given initial value problem, with y0 = 2 and y'0) = 5: y" - 6y' + 5y = 20t +1
Solve the following initial value problem. St/2 if 0 <t<6 y" +y= 3 ift > 6 6 y(0) = y'(0) = 0 14Pm1011* 1917 Prid A++ V "Top14
(4) Solve for y using Integrating Factors. [15 Points] y' + y = x2 (5) Solve for y by first showing that equation is Exact and then solving it using Exact Differential Equation. [15 Points] [sin y + ycosx]dx + [sin x + xcofy]dy = 0 (6) Solve for y by the separable equation. [15 Points] sin(2x)dx + cos(3y)dy = 0 when y 5) =
6. Use the 1st shifting theorem 5. Y"-34 +2y = 2 to solve te at y + 4y + 4y y (0)=0, 4 (0) = 1 theorems to compute hifting
6 (5) Solve the differential equation using a Laplace Transform: y 3y' +2y t y(0) 0, y'(0) 2
(6 points) Use the Laplace transform to solve the following initial value problem: y" – 10y' + 40y = 0 y(0) = 4, y'(0) = -5 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) By completing the square in the denominator and inverting the transform, find y(t) =
6. Solve the following initial value problem y"+ 2yty- sin3) y(O) 1 y'(0)-1
Solve the following system of equations for z and for y: Value of Value of y System of Equations: y = 9+ 3z y = 58 – 42 Solve the following system of equations for a and for b: Value of a value of b System of Equations: 4a + 2b = 20 15a + 5b = 60 Plot the following system of equations on the following graph. System of Equations: p = 6 - 29 p = 4+2 Note:...
Use Laplace Transform to solve the following Differential Equations
y - zsin (5+)=Y , Y'(o)=0 Y