Q 16 solve this Q 16 If siny=x sina+y, then prove that dydx=sin2a+ysina - Maths - Differential Equations

Question

Q 16 solve this
Q 16 If sin y = x   sin a + y , then prove that d y d x = sin
2 a + y sin a

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

We have,   sin y = x sina+y⇒x = sin ysina+yDifferentiating both sides with respect to y, we getdxdy = sina+y 
 cos y - sin y 
 cosa+ysin2a+y⇒dxdy = sina+y-ysin2a+y⇒dydx = sin2a+ysin a

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Q.16 solve this Q.16. If sin y = x sin a + y , then prove that d y d x = sin 2 a + y sin a .

Q.16 solve this
Q.16. If $\sin y = x \sin (a + y)$ , then prove that $\frac{d y}{d x} = \frac{\sin^{2} (a + y)}{\sin a}$ .