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STEP II 1992 question 2 solutionTSR Wiki > Study Help > Subjects and Revision > Mathematics > STEP > STEP II 1992 question 2 solution Unparseable or potentially dangerous latex formula. Error 5: Image dimensions are out of bounds: 2007x50
\displaystyle y = x\frac{\text{d}y}{\text{d}x} - \cosh\bigg(\frac{\text{d}y}{\text{d}x}\bigg)\; (*)\\ \frac{\text{d}y}{\text{d}x} = x\frac{\text{d}^2y}{\text{d}x^2} + \frac{\text{d}y}{\text{d}x} - \frac{\text{d}^2y}{\text{d}x^2}\sinh \bigg(\frac{\text{d}y}{\text{d}x}\bigg)\\ Unparseable or potentially dangerous latex formula. Error 5: Image dimensions are out of bounds: 2906x47
\displaystyle (2)\;\; y = x \sinh^{-1} x - (1+x^2)^{1/2} + C:\\ \frac{\text{d}y}{\text{d}x} = \sinh^{-1} x + \frac{x}{\sqrt{1+x^2}} - \frac{x}{\sqrt{1+x^2}} = \sinh^{-1} x.\\ Solution by generalebriety. |