solve the initial values:
if Y(3)-4Y"+20Y'=51e^3x
Y"(0)=41, Y'(0)= 11. Y(0)= 7 > solution is Y(x)= e^3x+2 e^2x
sin(4x)+6
so, what is the solution for:
Y(3)-8Y"+17Y'=12e^3x
Y"(0)=26, Y'(0)= 7. Y(0)= 6
Y(x)=???
Given:
f(x,y) = 5 - 3x - y for 0 < x,y < 1 and x + y < 1, 0
otherwise
1) find the covariance of x and y
2) find the marginal probability density function for x
c) find the probability that x >= 0.6 given that y <=
0.2
A=
1
0
-7
7
0
1
0
0
2
-2
10
-7
2
-2
2
1
Diagonalize the matrix above. That is, find matrix D and a
nonsingular matrix P such that A = PDP-1 . Use the
representation to find the entries of An as a function
of n.
Using Euler method, ODE45 and Simulink solve the following ODE's.
a) y+c(dy/dt)=10sinwt
c=2, w=10, y(0)=0
Assume time span 0: 0.01: 10
b) dy/dt=t^2+yz
dz/dt=t+y^2z^2
y(0)=0.2
z(0)=-0.1
Assume time span 0: 0.1 :1
c)(d^2)y/dt^2+0.5(dy/dt)+siny=0
y(0)=1
dy/dt =0 when t=0
assume time span 0: 0.01 :10
Matlab code please