Quiz about Quiz de Ecuaciones Diferenciales

Question 1

$$y=c_1e^{2x}+c_2e^{-x}\ \ es\ solución\ de\ la\ ecuación\ diferencial$$

Accepted Answer

$$y´´-y´-2y=0$$

Answer

$$y´´+y´-2y=0$$

Answer

$$y´´-y´+2y=0$$

Answer

$$y´´+y´+2y=0$$

Question 2

$$2xydx+\left(x^2+2y\right)dy=0,\ tiene\ como\ solución:$$

Accepted Answer

$$x^2y+y^2=c$$

Answer

$$x^2y+xy^2=c$$

Answer

$$x^2y+x^2y^2=c$$

Answer

$$2x^2y+y^{ }=c$$

Question 3

$$La\ solución\ de\ la\ ecuación\ diferencial\ \left(x^2+y^2\right)dx+xydy=0\ es:$$

Accepted Answer

$$x^2+2x^2y^2=c$$

Answer

$$x^4+2x^2y^2=c$$

Answer

$$x^4+2x^4y^4=c$$

Answer

$$x^4+2x^2+y^2=c$$

Question 4

$$La\ ecuación\ diferencial\ \ \left(x+2y-3\right)dx\ +\left(x-3y+2\right)=0\ se\ transforma\ en\ \ \hom ogénea\ haciendo:$$

Accepted Answer

$$X=x-1\ ,\ Y=y-1$$

Answer

$$X=x+1\ ,\ Y=y-1$$

Answer

$$X=x-1\ ,\ Y=y+1$$

Answer

$$X=x+1\ ,\ Y=y+1$$

Question 5

$$La\ solución\ de\ la\ E.D\ \ \left(x-y-1\right)dx\ +\left(y-x+2\right)dy=0\ es:$$

Accepted Answer

$$\left(x+y-2\right)^2+2x=c$$

Answer

$$\left(x+y-2\right)^2+2x^2=c$$

Answer

$$\left(x-y-2\right)^2+2x=c$$

Answer

$$\left(x+y+2\right)^2+2x=c$$

Question 6

$$La\ solución\ de\ la\ Ecuación\ Diferencial\ Exacta\ 2xydx\ +\left(x^2+\cos y\right)dy=0\ es:$$

Accepted Answer

$$x^2y+seny=c$$

Answer

$$x^2y-seny=c$$

Answer

$$x^2y^2+seny=c$$

Answer

$$x^2y+yseny=c$$

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