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Beliebt Rechnen >

y^'-y=3te^{2t},y(0)=1

Lösung

y^{^{'}} - y = 3 t e^{2 t}, y (0) = 1

Lösung

y = 3 e^{2 t} (t - 1) + 4 e^{t}

Schritte zur Lösung

y^{'} (t) - y = 3 t e^{2 t}

Solve linear ODE:

y = 3 e^{2 t} (t - 1) + 4 e^{t}

y = 3 e^{2 t} (t - 1) + 4 e^{t}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(ye^{(x/y)})

\frac{\partial}{\partial x} (y e^{(\frac{x}{y})})

(d^2)/(dx^2)((x^2-4x)/(x+1))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} - 4 x}{x + 1})

derivative of 3x^2sqrt(5x+3)

\frac{d}{d x} (3 x^{2} 5 x + 3)

tangent f(x)=sqrt(2-10x),\at x=-1

t an g e n t f (x) = 2 - 10 x, at x = - 1

integral of (7x)

\int (7 x) d x