Quiz about EXAMEN ECUACIONES DIFERENCIALES

Question 1

La diferencial de $$y=x^3-2x^2+\ 4x\ -5\ $$

Accepted Answer

$$dy=\left(3x^{2\ }-4x\ +\ 4\right)dx$$

Answer

$$y$$

Answer

$$y$$

Answer

$$y=3x^{2\ }+6x-5$$

Question 2

La diferencial de $$f\left(x\right)=sen\left(4x\right)$$

Accepted Answer

f'(x)=(4 cos 4x)dx

Answer

f'(x)=(4 sen 4x)dx

Answer

f'(x)=-4 cos 4xdx

Answer

f'(x)=-4 sen 4xdx

Question 3

Obtenga la derivada de $$f\left(x\right)=\ \ln\left(x^{2\ }-2\right)$$

Accepted Answer

$$dy\ =\left(\frac{2x}{x^2-2}\right)dx$$

Answer

dy=2xdx

Answer

$$dy=\left(\frac{x^2-2}{2x\ }\right)dx$$

Answer

dy=xdx

Question 4

Los tipos de ecuaciones diferenciales son:

Accepted Answer

Ordinarias

Accepted Answer

Parciales

Answer

normales

Answer

Explicitas

Question 5

Mediante $$2y\ -xy\ =5-2x$$ despeja y

Accepted Answer

$$y=\frac{5-2x}{2-x}$$

Answer

$$y=\frac{5}{2\ -2x}$$

Answer

$$y=2x+\frac{4}{x}$$

Answer

y=5x-4x

Question 6

De acuerdo a $$f\left(x,y\right)=3x^3y-2x^2y^2+\ 3y$$ determine $$\frac{\partial f}{\partial y}$$

Accepted Answer

$$\frac{\partial f}{\partial y}=9x^2y-4xy^2$$

Answer

$$\frac{\partial f}{\partial y}=\ 3x^3-4x^2y+3$$

Answer

$$\frac{\partial f}{\partial x}=9x^2y-4x$$

Answer

$$\frac{\partial f}{\partial y}=3x^3-4x^2-´3$$

Question 7

La familia de soluciones para c=0 y c=-2

Accepted Answer

$$y^3=3$$

Accepted Answer

$$y^3=-2e^{-3x^2}+3$$

Answer

$$y^3=-3e^{-3x^2}+3$$

Answer

$$y^3=-4e^{-3x^2}+3$$

Answer

$$y^3=-2e^{-6x^{ }}+3$$

Question 8

Determine la segunda derivada $$y=sen\left(6x\right)$$

Accepted Answer

y"=-36sen( 6x)

Answer

y"=-6sen( 6x)

Answer

y"=6sen( 6x)

Answer

y"=-36sen( x)

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