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Beliebt Rechnen >

y^{''}-4y^'=1

Lösung

y^{^{''}} - 4 y^{^{'}} = 1

Lösung

y = c_{1} e^{4 t} + c_{2} - \frac{t}{4}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) = 1

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} - \frac{t}{4}

y = c_{1} e^{4 t} + c_{2} - \frac{t}{4}

Graph

Beliebte Beispiele

y^{''}+5y=e^{2x}-x-x^2+x^3

y^{^{''}} + 5 y = e^{2 x} - x - x^{2} + x^{3}

y^{'''}-5y^{''}+6y^'=6e^x

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 6 e^{x}

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

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

y^{''}+y=(sin(x))/((cos(x))^2)

y^{^{''}} + y = \frac{sin ( x )}{( cos ( x ) ) ^{2}}

y^{''}+9y=2sin(x)

y^{^{''}} + 9 y = 2 sin (x)