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Beliebt Rechnen >

6t^2y^{''}-12y=14t^2-1

Lösung

6 t^{2} y^{^{''}} - 12 y = 14 t^{2} - 1

Lösung

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{84 t ^{2} ln ( t ) - 28 t ^{2} + 9}{108}

Schritte zur Lösung

6 t^{2} y^{''} (t) - 12 y = 14 t^{2} - 1

Solve linear ODE:

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{84 t ^{2} ln ( t ) - 28 t ^{2} + 9}{108}

y = c_{1} t^{2} + \frac{c _{2}}{t} + \frac{84 t ^{2} ln ( t ) - 28 t ^{2} + 9}{108}

Graph

Beliebte Beispiele

integral of 4x^3-10x

\int 4 x^{3} - 10 x d x

integral of (4t^3-t^2+16t)/(t^2+4)

\int \frac{4 t ^{3} - t ^{2} + 16 t}{t ^{2} + 4} d t

y^{^{'}} - 2 x y = 8 x

derivative of e^{-x}cos(3x)

\frac{d}{d x} (e^{- x} cos (3 x))

integral from 1 to 3 of sqrt(t)ln(t)

\int_{1}^{3} t ln (t) d t