A community for students.
Here's the question you clicked on:
 0 viewing
MathSofiya
 2 years ago
solve the differential equation using the variation of parameters method
\[y''+y=sec^2x,0\le x\le \frac{\pi}2\]
\[r^2+1=0\]
MathSofiya
 2 years ago
solve the differential equation using the variation of parameters method \[y''+y=sec^2x,0\le x\le \frac{\pi}2\] \[r^2+1=0\]

This Question is Closed

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1did you get that problem from the other day sorted out?

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0at first I had r^2+r=0 and that gave me the integral of \[\int\frac{e^{x}sec^2x}{e^{x}}dx+e^{x}\int \frac{sec^2x}{e^{x}}dx\]

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0but that is apparently wrong

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0iirc? what does that mean?

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1if I recall correctly

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0\[y_c=c_1cosx+c_2sinx\]

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0\[W(y_1,y_2)=cos^2x+sin^2x\]

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0nice! \[y_p=cosx\int sinxsec^2xdx+sinx \int cosxsec^2xdx\]

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0\[y=y_c+y_p=c_1cosx+c_2sinxcosxsecx+\int cosxsec^2xdx\]

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1missing a 'sin' on that last term...

psi9epsilon
 2 years ago
Best ResponseYou've already chosen the best response.0@mathsofiya , check integration seems incomplete

psi9epsilon
 2 years ago
Best ResponseYou've already chosen the best response.0@Algebraic! , didnt really see the reason for "lol", there are couple of things missing here

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1"integration seems incomplete"

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1what tipped you off?

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1here I thought you were making a funny and you were somehow serious...

psi9epsilon
 2 years ago
Best ResponseYou've already chosen the best response.0a simple look suggests that last term carries an Integration sign whereas the second last term does not, it cant be both , either we have an integral sign or we dont. Anyways its better to teach something correctly : )

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0where's a sine missing?

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1sinx∫cosxsec^2x dx > ∫cosxsec^2x dx

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0very true \[y=y_c+y_p=c_1cosx+c_2sinxcosxsecx+sinx\int cosxsec^2xdx\]

MathSofiya
 2 years ago
Best ResponseYou've already chosen the best response.0is this really the solution to the integral? http://www.wolframalpha.com/input/?i=integral+of+cosxsec^2x

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1most people use ln(tan(x) +sec(x)) for brevity

Algebraic!
 2 years ago
Best ResponseYou've already chosen the best response.1programs always give the other form of the answer; not sure why, probably to confound students.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.