Joni Kenny
2021-06-25
Answered

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Gennenzip

Answered 2021-06-26
Author has **96** answers

The given differential is

The auxilary equation is given by

Therefore the general olution is given by

When

Again when

Therefore the solution is

asked 2021-02-08

Determine the first derivative

asked 2022-03-24

Consider the following linear second order homogeneous differential equation wit constant coefficients and two initial conditions

$\frac{{d}^{2}y\left(t\right)}{{dt}^{2}}+\frac{dy\left(t\right)}{dt}-2y\left(t\right)=0,\text{}y\left(0\right)=-1\text{}\frac{dy\left(0\right)}{dt}=5$

Solve the differential equation.

Solve the differential equation.

asked 2021-01-10

Determine the transfer function (H(s)) of the following system using Laplace transform
properties.

$\ddot{y}+4\dot{y}+4y=-x+2\dot{x}$

Note: Assume that all initial conditions are zero

Note: Assume that all initial conditions are zero

asked 2021-02-02

Find the general solution of the second order non-homogeneous linear equation:

${y}^{\u2033}-7{y}^{\prime}+12y=10\mathrm{sin}t+12t+5$

asked 2022-05-13

I have been solving an inexact first order ODE, but arriving to the step of finding an integrating factor /mu, I was enable to find either /mu of x or /mu of y. Is there another way of solving this ODE? or how can I come up with the solution.

$({e}^{x+y}-y{e}^{x})\mathrm{d}x+{e}^{y}\mathrm{d}y=0$

$({e}^{x+y}-y{e}^{x})\mathrm{d}x+{e}^{y}\mathrm{d}y=0$

asked 2022-02-18

How to solve this first-order differential equation,I don't have any idea which type this is..

I have

and replace

It seems like it's a Riccati's diff. equation,but I don't know how to do it beacuse I don't have any particular solution..

On Wolfram Alpha solution is

asked 2021-01-15

Show that the first order differential equation $(x+1){y}^{\prime}-3y=(x+1{)}^{5}$ is of the linear type.

Hence solve for y given that y = 1.5 when x = 0

Hence solve for y given that y = 1.5 when x = 0