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(Solved): Differential equations and vector functions 1. Solve the following differential equations i. \( (2 ...
Differential equations and vector functions 1. Solve the following differential equations i. \( (2 x+1) \frac{d y}{d x}-\tan (y)=0, \quad y(0)=\frac{\pi}{4} \) ii. \( \quad e^{x-y} \frac{d y}{d x}=1, \stackrel{ }{y} y(0)=1 \)
Expert Answer
(2x+1)dydx?tan?(y)=0dydx=tan?(y)2x+1?dytan?y=?dx2x+1?cos?y