Solve the differential equation y' 3t2 4y - with the initial condition y(0)= - 1. y =
Solve x′ =2x+y, x(0)=1 y′ =3x+4y, y(0)=0
1. Find the particular solution of the differential
equation
dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x)
satisfying the initial condition y(0)=4y(0)=4.
2. Solve the following initial value problem:
8dydt+y=32t8dydt+y=32t
with y(0)=6.y(0)=6.
(1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
Solve using Laplace transform: y"-4y'=5e^x, y(0)=0, y'(0)=1
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
Solve the system by substitution. 16 16 x-4y = y-22-X (x, y) = Need Help? Watch It Talk to a Tutor Submit Answer Save Progress
Solve the initial value problem y" – 4y' + 4y = 0, y(0) = -3, y'(0) = -17/4
solve the following using laplace transform
y" + 4y + 4y = t4e-2t; y(0) = 1, y'(0) = 2 +
Problem THREE Solve the following DE xy" - 3xy' + 4y = x? In x, X>0 Problem FOUR Solve the following DE y (4) – 4y" = t² + et
Question 2 > Solve y' + 4y' + 8y = 0, y(0) = 1, y'(0) = 6 g(t) = The behavior of the solutions are: O Steady oscillation O Oscillating with decreasing amplitude O Oscillating with increasing amplitude