Differential Equation (1 Viewer)

[mathsfreak1010]

not too sure if this is part of the syllabus but:
form the differential equations by eliminating the arbitrary constant A, B and C

Y^2= Ax^2+Bx+C

much help would be appreciated-

thanks in advance

 

[Carrotsticks]

Too vague of a question and the question in its current form is out of the scope of the syllabus.

If they wanted to make the question within the scope of the course, it would be worded as "Show that y^2=ax^2+bx+c satisfies the differential equation ..........."

The question is very vague because there are so many different differential equations that this satisfies. For example, upon implicit differentiation, we have



which is a differential equation. We could even take it further with a second application of implicit differentiation (note the use of the product rule on the left hand side)



Where did you get this from?

 

[aDimitri]

Too vague of a question and the question in its current form is out of the scope of the syllabus.

If they wanted to make the question within the scope of the course, it would be worded as "Show that y^2=ax^2+bx+c satisfies the differential equation ..........."

The question is very vague because there are so many different differential equations that this satisfies. For example, upon implicit differentiation, we have



which is a differential equation. We could even take it further with a second application of implicit differentiation (note the use of the product rule on the left hand side)



Where did you get this from?

what happened to the B? shouldn't it be

 

[Carrotsticks]

what happened to the B? shouldn't it be

My B decided to run off and disappear!

Thank you for your correction =)

 

[mathsfreak1010]

thank you so much, i just got it from the internet somewhere