Mathematics
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OpenStudy (anonymous):
Solve the diff eqn
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OpenStudy (anonymous):
\[\LARGE \sqrt{1+x^2+y^2+x^2 y^2} +xy \frac{dy}{dx}=0\]
OpenStudy (anonymous):
\[\large => \sqrt{(1+x^2)(1+y^2)}+xy \frac{dy}{dx}=0\]
not sure how to proceed further
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
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OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
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OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@hartnn
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OpenStudy (anonymous):
@hartnn
OpenStudy (anonymous):
@shubhamsrg
OpenStudy (anonymous):
@shubhamsrg
OpenStudy (anonymous):
@shubhamsrg
OpenStudy (shubhamsrg):
1+x^2 + y^2 + x^2 y^2 = (1+x^2) + y^2 (1+x^2)
take it from here.
best of luck for your future.
gaand marao bc. :)
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OpenStudy (anonymous):
take what from here o.O
OpenStudy (shubhamsrg):
(1+x^2)(1+y^2) ho gaya
ab variable separable form ho gaya.
dy/dx wala term LHS le jake , x wala func. 1 sath, y wala 1 sath
OpenStudy (anonymous):
maine bhi to yahi kia tha 1st step me ..-..
OpenStudy (shubhamsrg):
RHS* le jake
OpenStudy (shubhamsrg):
to fir integration me problem hai? variable separate ho gaye ?
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OpenStudy (anonymous):
\[\large \sqrt{1+x^2} \sqrt{1+y^2} + xy y'=0\]
\[\frac{ \sqrt{1+x^2}}{x}+\frac{\sqrt{1+y^2}}{y} +y'=0\]
OpenStudy (shubhamsrg):
+ kaha se aya ? :3
OpenStudy (anonymous):
sorry *
OpenStudy (shubhamsrg):
y' = ... likh ke
y wale terms dy ke sath
x wale dx ke sath
and just phuck it
OpenStudy (anonymous):
\[\large \frac{dy}{dx}=-( \frac{ \sqrt{1+x^2}}{x} \times \frac{ \sqrt{1+y^2}}{y} )\]
abe variable sup?
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OpenStudy (shubhamsrg):
yo maen
OpenStudy (anonymous):
and x= tan A and y= tan B o.O ? to integrate
OpenStudy (shubhamsrg):
x= tanA kar sakte ho
y= tanB ka zarurat nahi
simply 1+y^2 = B le lena
OpenStudy (anonymous):
=B ? kya matlab?