Find the general solution of this ODE: d^2y/dt^2+7 dy/dt+10y=5t^2−3t+6 The solution will be of the form:...

Find the general solution of this ODE:

d^2y/dt^2+7 dy/dt+10y=5t^2−3t+6

The solution will be of the form:

y(t)=Cy1(t)+Dy2(t)+yp(t)

so use C and D as the arbitrary constants.

y(t)=y(t)=

Expert Solution

milcah answered 1 year ago

find the solution to the differential equation. d^2y/dt^2 - 7dy/dt=0, y(0)=4, y'(0)=7

Find the general solution of the given system. dx dt = 6x + y dy dt...

Find the general solution of the given system. dx dt = 6x + y dy dt = −2x + 4y [x(t), y(t)]= _____________, _______________ (6c1+8c2)10sin(6t)+(6c2+8c1)10cos(6t), c1cos(6t)+c2sin(6t) ^above is the answer I got, which is incorrect.

Find the general solution of the differential equation (x + 2y) (dx-dy) = dx + dy.

Find the general solution of the given system. dx/dt=6x-y dy/dt=5x+4y

Find the general solution to the ODE y'' − y'/x − 4x^2y = x^2 sinh(x^2)

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

. Consider a Bessel ODE of the form: x^2y"+xy'+(x^2-1)y=0 What is the general solution to this...

. Consider a Bessel ODE of the form: x^2y"+xy'+(x^2-1)y=0 What is the general solution to this ODE assuming that the domain of the problem includes x=0? Why?

find the general solution for the differential equation (d^2y/dx^2)+16y= 1/cos(4x) +15x-7

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

Find dy/dx and d^2y/dx^2, and find the slope and concavity (if possible) at the given value...

Find dy/dx and d^2y/dx^2, and find the slope and concavity (if possible) at the given value of the parameter. (If an answer does not exist, enter DNE.) Parametric Equations Point x = et, y = e−t t = 3 dy/dx = d^2y/dx^2 = slope = concavity= ---Select--- concave upward concave downward neither

Question