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Mathematics 18 Online
OpenStudy (anonymous):

Solve the diff eqn

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

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

@hartnn

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. :)

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 ?

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?

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?

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