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Beliebt Rechnen >

y^'+xy=-x^2

Lösung

y^{^{'}} + x y = - x^{2}

Lösung

y = - x + \frac{π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

Schritte zur Lösung

y^{'} (x) + x y = - x^{2}

Solve linear ODE:

y = - x + \frac{π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

y = - x + \frac{π erfi ( \frac{x}{2} )}{2 e ^{\frac{x ^{2}}{2}}} + \frac{c _{1}}{e ^{\frac{x ^{2}}{2}}}

Beliebte Beispiele

derivative y=(5x-4)^5(3-x^3)^5

d er i v a t i v e y = (5 x - 4)^{5} (3 - x^{3})^{5}

tangent f(x)=2x^2-6x,\at x=1

t an g e n t f (x) = 2 x^{2} - 6 x, at x = 1

tangent g(x)=sqrt(5x+20),\at x=1

t an g e n t g (x) = 5 x + 20, at x = 1

derivative sqrt(4x+3)

d er i v a t i v e 4 x + 3

y^{''}-6y^'+9y=e^{3x}

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{3 x}