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Gulfstream757
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Hi all, hope you all had a great Christmas,
I had a difficulty with theses two problems,
1. Show that y=1/x + x/2 is a solution of the differential equation,
dy/dx=1-y/x, where y=1.5 and x=2
2. Solve the differential equation, dy/dx=e^4x-y, where y=1 and x=1/4
In your final answer express y in terms of x.
For question 1 my understanding is that I should differentiate the y= function and then sub that in for dy/dx and they should equal with some algebra. My problem is when do you input the values for x and y?
For question 2 I think its a separable equation that you would separate, integrate to solve then sub in the x and y values to find the constant of integration. My issue is how to separate, I've tried to take the natural log of both sides? But I am really lost
Thanks so much in advance!
Hi all, hope you all had a great Christmas,
I had a difficulty with theses two problems,
1. Show that y=1/x + x/2 is a solution of the differential equation,
dy/dx=1-y/x, where y=1.5 and x=2
2. Solve the differential equation, dy/dx=e^4x-y, where y=1 and x=1/4
In your final answer express y in terms of x.
For question 1 my understanding is that I should differentiate the y= function and then sub that in for dy/dx and they should equal with some algebra. My problem is when do you input the values for x and y?
For question 2 I think its a separable equation that you would separate, integrate to solve then sub in the x and y values to find the constant of integration. My issue is how to separate, I've tried to take the natural log of both sides? But I am really lost
Thanks so much in advance!
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