Solution to a differential equation required

[baldrick]

Hi, I am new here but I hope you can help me.

I have a problem involving a differential equation

dy/dt = V*sin(y)

if V is the rocket equation V= Ve *ln(M0/M(t))

and I know the value of V at time t

how do I solve to find y?

 

[EugP]

Hi, I am new here but I hope you can help me.

I have a problem involving a differential equation

dy/dt = V*sin(y)

if V is the rocket equation V= Ve *ln(M0/M(t))

and I know the value of V at time t

how do I solve to find y?

You should separate the variables.

$$\frac{dy}{dt} = V\ sin{y}$$

$$\frac{dy}{\sin{y}} = V dt$$

$$\int \frac{dy}{\sin{y}} = \int V dt$$

You should be able to take it from here. Good luck.

 

[ferelpis]

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