Other Math Archive: Questions from August 31, 2022
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Solve the intial value Problem (i) \( y^{\prime \prime}=\cos x e^{\sin x} \quad y(1)=4, y(1)=6 \) (ii) \( y^{\prime \prime}=e^{x^{2}} \) \( y(0)=4 \quad y^{\prime}(0)=3 \) \( y^{\prime}=\frac{e^{x}}{x0 answers -
The solution of the differential equation is
La solución de la ED \( y^{\prime}=1+x+y^{2}+x y^{2} \), es: a. \( \arctan y-x-x^{2} / 2=c \) b. \( \arctan y+x+x^{2} / 2=c \) c. \( \arctan y-x+x^{2} / 2=c \) d. \( \arctan y+x-x^{2} / 2=c \)1 answer -
1 answer
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Consider the differential equation given in the photo and determine the critical points.
Ejemplo Considere la EDA \( \frac{d y}{d x}=y(y-2)(y+3) \) determine los puntos críticos. \[ y(y+3)(y-2)=0 \Rightarrow y=-3, y=0, y=2 \text { : } \]2 answers -
Represent in the form \( x+i y \) : 、22. \( 4\left(\cos \frac{1}{3} \pi+i \sin \frac{1}{3} \pi\right) \) V23. \( 2 \sqrt{2}\left(\cos \frac{3}{4} \pi+i \sin \frac{3}{4} \pi\right) \) V 24. \( 10(\co2 answers