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Beliebt Rechnen >

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

Lösung

y^{^{'}} = \frac{sin ( x ) e ^{x + 2 y}}{y}

Lösung

y = - \frac{W ( \frac{2 e ^{x} ( s i n ( x ) - c o s ( x ) ) + c _{1}}{e} )}{2} - \frac{1}{2}

Schritte zur Lösung

y^{'} (x) = \frac{sin ( x ) e ^{x + 2 y}}{y}

Solve separable ODE:

y = - \frac{W ( \frac{2 e ^{x} ( s i n ( x ) - c o s ( x ) ) + c _{1}}{e} )}{2} - \frac{1}{2}

y = - \frac{W ( \frac{2 e ^{x} ( s i n ( x ) - c o s ( x ) ) + c _{1}}{e} )}{2} - \frac{1}{2}

Beliebte Beispiele

(dN)/(dt)= 3/2 N

\frac{d N}{d t} = \frac{3}{2} N

(dy}{dx}-y/x =-\frac{y^2)/x

\frac{d y}{d x} - \frac{y}{x} = - \frac{y ^{2}}{x}

sqrt(x)(dy)/(dx)=e^{6y+sqrt(x)}

x \frac{d y}{d x} = e^{6 y + x}

e^yy^'=((ln(t))^2)/t

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}

1-x(dy)/(dx)=y^2

1 - x \frac{d y}{d x} = y^{2}