Question

In: Advanced Math

Use Euler method (as explained on the white board) to solve numerically the following ODE: dy/dt=y+t....

Use Euler method (as explained on the white board) to solve numerically the following ODE:

dy/dt=y+t. y(0)=1

You can select the step size. Choose n=3. solve this by hand on a paper and with the aid of Matlab.

Solutions

Expert Solution


Expert Solution


Related Solutions

Use Laplace transformations to solve the following differential equations: dy(t)/dt + a y(t) = b; I.C.s...
Use Laplace transformations to solve the following differential equations: dy(t)/dt + a y(t) = b; I.C.s y(0) = c d2y(t)/dt2 + 6 dy(t)/dt + 9 y(t) = 0; I.C.s y(0) = 2, dy(0)/dt = 1 d2y(t)/dt2 + 4 dy(t)/dt + 8 y(t) = 0; I.C.s y(0) = 2, dy(0)/dt = 1 d2y(t)/dt2 + 2 dy(t)/dt + y(t) = 3e-2t; I.C.s y(0) = 1, dy(0)/dt = 1
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...
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
Solve the following initial value problems (1) dy/dt = t + y y(0) = 1 so...
Solve the following initial value problems (1) dy/dt = t + y y(0) = 1 so y(t) = (2)  dy/dt = ty y(0) = 1 so y(t) =
Consider the non linear ODE: (dx/dt) = -y = f(x,y) (dy/dt) = x^2-x = g(x,y) (a)....
Consider the non linear ODE: (dx/dt) = -y = f(x,y) (dy/dt) = x^2-x = g(x,y) (a). Compute all critical points (b) Derive the Jacobian matrix (c). Find the Jacobians for each critical point (d). Find the eigenvalues for each Jacobian matrix (e). Find the linearized solutions in the neighborhood of each critical point (f) Classify each critical point and discuss their stability (g) Sketch the local solution trajectories in the neighborhood of each critical point
Use a LaPlace transform to solve d^2x/dt^2+dx/dt+dy/dt=0 d^2y/dt^2+dy/dt-4dy/dt=0 x(0)=1,x'(0)=0 y(0)=-1,y'(0)=5
Use a LaPlace transform to solve d^2x/dt^2+dx/dt+dy/dt=0 d^2y/dt^2+dy/dt-4dy/dt=0 x(0)=1,x'(0)=0 y(0)=-1,y'(0)=5
Solve the system of equation by method of elimination. dx/dt + x−5y = 0, 4x +dy/dt+...
Solve the system of equation by method of elimination. dx/dt + x−5y = 0, 4x +dy/dt+ 5y = 0, x(0) = −1, y(0) = 2.
Use euler method to approiximate y(1) y' is given , solve for y. approiximate y(1) Create...
Use euler method to approiximate y(1) y' is given , solve for y. approiximate y(1) Create a table to show the approximate value of y(1) for each choice of h. y’ = -15y y(0) = 1 h = .25 h = .125 h = .0625 h = .03125
subject:engineering mathematics solve [cos(x+y)-sin(x+y)]dx-sin(x+y)dy=0,is the ODE exact?Find an integrating factor and solve the ODE.
subject:engineering mathematics solve [cos(x+y)-sin(x+y)]dx-sin(x+y)dy=0,is the ODE exact?Find an integrating factor and solve the ODE.
Consider the following initial value problem dy/dt = 3 − 2*t − 0.5*y, y (0) =...
Consider the following initial value problem dy/dt = 3 − 2*t − 0.5*y, y (0) = 1 We would like to find an approximation solution with the step size h = 0.05. What is the approximation of y(0.1)?
Solve ODE (3x - 2y + 1)dx + (-2x + y + 2)dy = 0 with...
Solve ODE (3x - 2y + 1)dx + (-2x + y + 2)dy = 0 with the method of x =u + h and y = v + k
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT