Question

how to solve dy/dt=1/2(sinx+cosx) differential equation?

Answer 1

aany one please reply me?

Answer 2

dy/dt with respect to x??

Answer 3

yes.

Answer 4

u can' solve it. Not when it's dy/dt and with respect to x

Answer 5

can you please help me how to solve with respective to dt.?

Answer 6

Integral please help me...

Answer 7

kramen the question should be:
dy/dt=1/2(sint+cost)

Answer 8

okay. then which method is easy to solve the problem?

Answer 9

Integral help me..

Answer 10

Just integrate the whole thing that's all use:
wolframalpha.com

Answer 11

its a separable equation:
\[\frac{dy}{dt}= \frac{1}{2}(sint+cost)\]
\[dy=\frac{1}{2}(sint+cost)dt\]
integrate both sides:
\[\int\limits dy= \frac{1}{2} \int\limits (sint +cost)dt\]
\[\int\limits dy= \frac{1}{2}[\int\limits sint dt+\int\limits costdt]\]
\[y=\frac{1}{2}(sint-cost)+C\]

Answer 12

Integral help me..

Answer 13

thank you nadeem and integral..! have a gr8 day..