Sr Examen
Ecuación diferencial (x+2y+1)dx-(2x-3)dy=0
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
d d
1 + x + 2*y(x) + 3*--(y(x)) - 2*x*--(y(x)) = 0
dx dx
$$- 2 x \frac{d}{d x} y{\left(x \right)} + x + 2 y{\left(x \right)} + 3 \frac{d}{d x} y{\left(x \right)} + 1 = 0$$
-2*x*y' + x + 2*y + 3*y' + 1 = 0
Respuesta
[src]
5 3*log(-3 + 2*x) x*log(-3 + 2*x)
y(x) = - - - 3*C1 - --------------- + --------------- + 2*C1*x
4 4 2
$$y{\left(x \right)} = 2 C_{1} x - 3 C_{1} + \frac{x \log{\left(2 x - 3 \right)}}{2} - \frac{3 \log{\left(2 x - 3 \right)}}{4} - \frac{5}{4}$$
Clasificación
factorable
1st exact
1st linear
Bernoulli
almost linear
linear coefficients
1st power series
lie group
1st exact Integral
1st linear Integral
Bernoulli Integral
almost linear Integral
linear coefficients Integral