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Beliebt Rechnen >

(dy)/(dx)+5(tan(5x))y=3cos(5x)

Lösung

\frac{d y}{d x} + 5 (tan (5 x)) y = 3 cos (5 x)

Lösung

y = \frac{3 x}{sec ( 5 x )} + \frac{c _{1}}{sec ( 5 x )}

Schritte zur Lösung

\frac{d y}{d x} + 5 (tan (5 x)) y = 3 cos (5 x)

Solve linear ODE:

y = \frac{3 x}{sec ( 5 x )} + \frac{c _{1}}{sec ( 5 x )}

y = \frac{3 x}{sec ( 5 x )} + \frac{c _{1}}{sec ( 5 x )}

Graph

Beliebte Beispiele

integral of 60x^2(1-4x^3)^4

\int 60 x^{2} (1 - 4 x^{3})^{4} d x

derivative f(x)=\sqrt[3]{e^{2x}+x^3}

d er i v a t i v e f (x) = 3 e^{2 x} + x^{3}

derivative f(x)=x^{5/6}

d er i v a t i v e f (x) = x^{\frac{5}{6}}

tangent y=10-3x-x^2

t an g e n t y = 10 - 3 x - x^{2}

(dy)/(dx)+ycos(x)=4cos(x),y(0)=6

\frac{d y}{d x} + y cos (x) = 4 cos (x), y (0) = 6