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Beliebt Rechnen >

y^'=4y+x^2+7

Lösung

y^{^{'}} = 4 y + x^{2} + 7

Lösung

y = - \frac{x ^{2}}{4} - \frac{x}{8} - \frac{57}{32} + c_{1} e^{4 x}

Schritte zur Lösung

y^{'} (x) = 4 y + x^{2} + 7

Solve linear ODE:

y = - \frac{x ^{2}}{4} - \frac{x}{8} - \frac{57}{32} + c_{1} e^{4 x}

y = - \frac{x ^{2}}{4} - \frac{x}{8} - \frac{57}{32} + c_{1} e^{4 x}

Graph

Beliebte Beispiele

integral of xsqrt(x)+1

\int x x + 1 d x

integral of (x^2+1/(\sqrt[3]{x)})^2

\int (x^{2} + \frac{1}{3 x})^{2} d x

derivative y=3xe^x

d er i v a t i v e y = 3 x e^{x}

limit as x approaches 1+of x^{3/(1-x)}

x \to 1 + lim (x^{\frac{3}{1 - x}})

y^{^{'}} + y^{3} = 0