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Beliebt Rechnen >

y^'+4y=5sin(e^{4x})

Lösung

y^{^{'}} + 4 y = 5 sin (e^{4 x})

Lösung

y = - \frac{5 cos ( e ^{4 x} )}{4 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

Schritte zur Lösung

y^{'} (x) + 4 y = 5 sin (e^{4 x})

Solve linear ODE:

y = - \frac{5 cos ( e ^{4 x} )}{4 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

y = - \frac{5 cos ( e ^{4 x} )}{4 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

Graph

Beliebte Beispiele

integral from 1 to e of 7t^2ln(t)

\int_{1}^{e} 7 t^{2} ln (t) d t

tangent x^2+x-3

t an g e n t x^{2} + x - 3

(\partial)/(\partial y)(3x^2y^4-3)

\frac{\partial}{\partial y} (3 x^{2} y^{4} - 3)

derivative f(x)=4sqrt(x^3)

d er i v a t i v e f (x) = 4 x^{3}

derivative of ln(1+xy)

\frac{d}{d x} (ln (1 + x y))