No links please Q(i) If y = tan ( x + y ), then show that d2ydx2=21 + - Maths - Differential Equations

Question

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Q(i) If y = tan ( x + y ), then show that d 2 y d x 2 = 2 1  
+   y 2 y 5 No links please

Aarushi Mishra · Accepted Answer

y=tan x+yx+y=tan-1yd x+ydy=d tan-1ydydxdy=11+y2-1dxdy=1-1-y21+y2dxdy=-y21+y2dydx=-1+y2y2dydx=-1y2+1d2ydx2=-d1y2+1dxd2ydx2=--2y3dydxd2ydx2=2y3dydxd2ydx2=-2y3×1+y2y2d2ydx2=-21+y2y5

No links please Q(i). If y = tan ( x + y ), then show that d 2 y d x 2 = 2 1 + y 2 y 5 No links please

No links please

Q(i). If y = tan ( x + y ), then show that $\frac{d^{2} y}{d x^{2}} = \frac{2 (1 + y^{2})}{y^{5}}$ No links please