- #1
EtherealMonkey
- 41
- 0
Please have mercy on my non-mathematical mind...
I am struggling so hard with Differential Equations.
This is my third time to take the class and I still feel like I am walking through the woods at midnight on an extremely dark night.
This is the problem that I am working on:
dy/dx = x / (1 + y4)
The instructions are to find (on paper) the general solution.
Well, I did that and got the following:
y + (y5 / 5) = (1/2) x2 + C1
Now, I am supposed to verify that the equation found is a solution to the differential equation.
Now, I know that the original equation can also be written as:
y' = x / (1 + y4)
And, I know that I should be able to take the derivative of the general solution, then plug in and solve.
But, I also think (whoa... this is where it gets sketchy), that the general solution should be have the terms of y on the LHS and collected.
So, what did I miss this time? Substitution by parts? Some trig identity?
Please help me. I so wish that I got this.
I am ready to go dig ditches somewhere if this fog doesn't lift for me.
TIA
I am struggling so hard with Differential Equations.
This is my third time to take the class and I still feel like I am walking through the woods at midnight on an extremely dark night.
This is the problem that I am working on:
dy/dx = x / (1 + y4)
The instructions are to find (on paper) the general solution.
Well, I did that and got the following:
y + (y5 / 5) = (1/2) x2 + C1
Now, I am supposed to verify that the equation found is a solution to the differential equation.
Now, I know that the original equation can also be written as:
y' = x / (1 + y4)
And, I know that I should be able to take the derivative of the general solution, then plug in and solve.
But, I also think (whoa... this is where it gets sketchy), that the general solution should be have the terms of y on the LHS and collected.
So, what did I miss this time? Substitution by parts? Some trig identity?
Please help me. I so wish that I got this.
I am ready to go dig ditches somewhere if this fog doesn't lift for me.
TIA