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Beliebt Rechnen >

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

Lösung

y^{^{'}} + (2 sin (x) cos (x)) y = e^{- s i n^{2} (x)}

Lösung

y = \frac{x}{e e ^{- \frac{c o s ( 2 x )}{2}}} + c_{1} e^{\frac{c o s ( 2 x )}{2}}

Schritte zur Lösung

y^{'} (x) + (2 sin (x) cos (x)) y = e^{- s i n^{2} (x)}

Solve linear ODE:

y = \frac{x}{e e ^{- \frac{c o s ( 2 x )}{2}}} + c_{1} e^{\frac{c o s ( 2 x )}{2}}

y = \frac{x}{e e ^{- \frac{c o s ( 2 x )}{2}}} + c_{1} e^{\frac{c o s ( 2 x )}{2}}

Graph

Beliebte Beispiele

limit as n approaches infinity of \sqrt[2n]{2^n+n^2}

n \to \infty lim (2 n 2^{n} + n^{2})

integral of (x^3)/((x^2+2)^2)

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

integral of 2x(1-x^{-3})

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

integral of 1/(2^x+1)

\int \frac{1}{2 ^{x} + 1} d x

erweitern (x+19)e^{3x}+4

e x p an d (x + 19) e^{3 x} + 4