This discussion is now closed.
Check out other Related discussions
- Partial differential equations question
- Logarithmic properties question
- Help with differential equations please.
- Maths for economists - constrained maximisation questoin
- Advanced Higher Maths 2023 Exam Solutions?
- A level maths mechanics question (1)
- alevel maths differential equations question
- Differential Equation
- A level integration help
- Bemused at difficulty of Maths of 1st Year Physics.
- OCR A-level Mathematics B Paper 3 (H640/03) - 20th June 2023 [Exam Chat]
- A-Level Maths mock paper help
- People who do Computer Science in Uni: How much mathematics do you do?
- MEI Differential equations
- A Level Maths : Common Mistakes/misconceptions
- Knowing which particular integral to use for ordinary differential equations
- Partial differentiation question
- Lse Economics and Economic history…help please
- differential equation with substitution
- HNC calculus
change of variable -> general solution of differential equation
please see the attached file
how do you use the change of variable to get to the general solution?
any help will be greatly appreciated
how do you use the change of variable to get to the general solution?
any help will be greatly appreciated
find d/dx and d/dy in terms of d/du and d/dv by using the chain rule. Then use them in the equation in finding the second derivatives and you should find alot will cancel and you have some easy expression to intergrate up. (well done in the cup by the way)
You should get
d/dx = (d/du + d/dv)(1/2)
d/dy = (d/du - d/dv)(1/2)
in the equation this should give you
(1/4)(d/du + d/dv)(df/du + df/dv) - (1/4)(d/du - d/dv)(df/du - df/dv) = u+v
d2f/dudv=u+v
intergrate up
df/du = uv + 1/2(v^2) + f(u)
f = 1/2(vu^2) + 1/2(uv^2) + F(u) + G(v)
f = (1/2)uv(u+v) + F(U) + G(v)
where F and G are arbitary funtions
you can then give this in terms of x and y
You should get
d/dx = (d/du + d/dv)(1/2)
d/dy = (d/du - d/dv)(1/2)
in the equation this should give you
(1/4)(d/du + d/dv)(df/du + df/dv) - (1/4)(d/du - d/dv)(df/du - df/dv) = u+v
d2f/dudv=u+v
intergrate up
df/du = uv + 1/2(v^2) + f(u)
f = 1/2(vu^2) + 1/2(uv^2) + F(u) + G(v)
f = (1/2)uv(u+v) + F(U) + G(v)
where F and G are arbitary funtions
you can then give this in terms of x and y
Retropmot
You should get
d/dx = d/du + d/dv
d/dy = d/du - d/dv
You should get
d/dx = d/du + d/dv
d/dy = d/du - d/dv
thanks
i did get up to that and then got a bit lost
but now i understand it
many thanks
(rep on its way tomorrow)thanks
i am doing it myself now anyways as i know what to do
i am doing it myself now anyways as i know what to do
Retropmot
(well done in the cup by the way)
cheers
Related discussions
- Partial differential equations question
- Logarithmic properties question
- Help with differential equations please.
- Maths for economists - constrained maximisation questoin
- Advanced Higher Maths 2023 Exam Solutions?
- A level maths mechanics question (1)
- alevel maths differential equations question
- Differential Equation
- A level integration help
- Bemused at difficulty of Maths of 1st Year Physics.
- OCR A-level Mathematics B Paper 3 (H640/03) - 20th June 2023 [Exam Chat]
- A-Level Maths mock paper help
- People who do Computer Science in Uni: How much mathematics do you do?
- MEI Differential equations
- A Level Maths : Common Mistakes/misconceptions
- Knowing which particular integral to use for ordinary differential equations
- Partial differentiation question
- Lse Economics and Economic history…help please
- differential equation with substitution
- HNC calculus
Latest
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 3 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
