Solve using Laplace transform: y"-4y'=5e^x, y(0)=0, y'(0)=1
solve using laplace please. xy'' + (1-x)y' + 2y = 0 , y(0) = 1 , y'(0) = -2
Solve this DE using power series
b) 2(x+1)y' + y =0
1) y'' -2y'+y=xE^x,
y(0)=y'(0)=0 Solve the initial value problem using the Laplace
transform.
y" – 2y + y = xe*, y(0) = y'(0) =
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
Solve y``` + ( y`` * 1/x+1) = 0 y(0)=1, y`(0)=0, y``(0) = 1
Solve x′ =2x+y, x(0)=1 y′ =3x+4y, y(0)=0
7c. Solve for x and y by using unimodular row reduction with initial parameters x=0 and y=1 when independent variable t=0 2x(D-2) + 6y = 0 2x + y(D-1) = 0
solve the differential equation (1 – x?)y" - 2xy'+6y=0 by using the series solution method
10. [18 Marks] Using separation of variables, solve Laplace's equation for {(x,y): 0 < x < 2,0 < y < 2), subject to the boundary conditions 0 (0, y) = d(x, 2) 6 + cos(nz) = In your solution, you must consider all three cases for the separation constant λ.
10. [18 Marks] Using separation of variables, solve Laplace's equation for {(x,y): 0