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
Solve the IPV using Operators: y"+ y'= x,y(0)=1, y(0) -0
Solve using Laplace transform: y"-4y'=5e^x, y(0)=0, y'(0)=1
1. Solve the following DE: (50 pts) (1, if 0<x51 a) y+ y = f(x), y(0) = 3 where f(x)= 0, if x>1 (10 pts)
y'' + 2y' + y = x + e^(-x) , y(0)=0 , y'(0)=0 Solve the following 2nd ODE and find y(x)
solve using laplace please. xy'' + (1-x)y' + 2y = 0 , y(0) = 1 , y'(0) = -2
solve the ODE y'+(3/x)(y)=0 , y(1)=5
7.4 Solve the Laplace equation Δ11-0 in the square 0 < x, y < π, subject to the bound- ary condition 11(0, y) u(T, y) = 0. 11(x, 0) = 11(x, π) = 1, = 1/(π, y) = 7.4 Solve the Laplace equation Δ11-0 in the square 0
JO SUUS. 7.12. Solve the BVP y" = -2e-3y + 4(1+x)-3, 0<x<1, subject to y(0) = 0, y' (O) = 1, y(1) = In 2. Compare to the exact solution, y(x) = ln(1+x).
(1 point) Solve y' = y) if y(0) = 1. y(x) = help (formulas) Find a singular solution that is not included in the general solution. y(x) =