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Beliebt Rechnen >

x^3(d^3y)/(dx^3)+2x^2(d^2y)/(dx^2)-x(dy)/(dx)+y=12x^2

Lösung

x^{3} \frac{d ^{3} y}{d x ^{3}} + 2 x^{2} \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} + y = 12 x^{2}

Lösung

y = \frac{c _{1}}{x} + c_{2} x + c_{3} ln (x) x + 4 x^{2}

Schritte zur Lösung

x^{3} \frac{d ^{3} y}{d x ^{3}} + 2 x^{2} \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} + y = 12 x^{2}

Solve linear ODE:

y = \frac{c _{1}}{x} + c_{2} x + c_{3} ln (x) x + 4 x^{2}

y = \frac{c _{1}}{x} + c_{2} x + c_{3} ln (x) x + 4 x^{2}

Graph

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