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- La ecuación:
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Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
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Ecuación x^2-14*x+33=0
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Ecuación x+18=8
- Expresar {x} en función de y en la ecuación:
- 12*x+1*y=15
- -17*x-12*y=-9
- 18*x+17*y=-14
- 16*x-17*y=-15
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Expresiones idénticas
- y+2y+y=senx+3cos(2x)
- y más 2y más y es igual a senx más 3 coseno de (2x)
- y+2y+y=senx+3cos2x
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Expresiones semejantes
- y-2y+y=senx+3cos(2x)
- y+2y-y=senx+3cos(2x)
- y+2y+y=senx-3cos(2x)
y+2y+y=senx+3cos(2x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
y + 2*y + y = sin(x) + 3*cos(2*x)
$$y + \left(y + 2 y\right) = \sin{\left(x \right)} + 3 \cos{\left(2 x \right)}$$
Gráfica
Respuesta rápida
[src]
/ 3*sin(2*re(x))*sinh(2*im(x)) cos(re(x))*sinh(im(x))\ cosh(im(x))*sin(re(x)) 3*cos(2*re(x))*cosh(2*im(x))
y1 = I*|- ---------------------------- + ----------------------| + ---------------------- + ----------------------------
\ 4 4 / 4 4
$$y_{1} = i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4}$$
y1 = i*(-3*sin(2*re(x))*sinh(2*im(x))/4 + cos(re(x))*sinh(im(x))/4) + sin(re(x))*cosh(im(x))/4 + 3*cos(2*re(x))*cosh(2*im(x))/4
Suma y producto de raíces
[src]
suma
/ 3*sin(2*re(x))*sinh(2*im(x)) cos(re(x))*sinh(im(x))\ cosh(im(x))*sin(re(x)) 3*cos(2*re(x))*cosh(2*im(x)) I*|- ---------------------------- + ----------------------| + ---------------------- + ---------------------------- \ 4 4 / 4 4
$$i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4}$$
=
/ 3*sin(2*re(x))*sinh(2*im(x)) cos(re(x))*sinh(im(x))\ cosh(im(x))*sin(re(x)) 3*cos(2*re(x))*cosh(2*im(x)) I*|- ---------------------------- + ----------------------| + ---------------------- + ---------------------------- \ 4 4 / 4 4
$$i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4}$$
producto
/ 3*sin(2*re(x))*sinh(2*im(x)) cos(re(x))*sinh(im(x))\ cosh(im(x))*sin(re(x)) 3*cos(2*re(x))*cosh(2*im(x)) I*|- ---------------------------- + ----------------------| + ---------------------- + ---------------------------- \ 4 4 / 4 4
$$i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4}$$
=
/ 3*sin(2*re(x))*sinh(2*im(x)) cos(re(x))*sinh(im(x))\ cosh(im(x))*sin(re(x)) 3*cos(2*re(x))*cosh(2*im(x)) I*|- ---------------------------- + ----------------------| + ---------------------- + ---------------------------- \ 4 4 / 4 4
$$i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4}$$
i*(-3*sin(2*re(x))*sinh(2*im(x))/4 + cos(re(x))*sinh(im(x))/4) + cosh(im(x))*sin(re(x))/4 + 3*cos(2*re(x))*cosh(2*im(x))/4