(xtan(x))dx-(ycos(x))dy=0

Lösung

(x tan (x)) d x - (y cos (x)) d y = 0

y = 2 x sec (x) - 2 ln (tan (x) + sec (x)) + c_{1}, y = - 2 x sec (x) - 2 ln (tan (x) + sec (x)) + c_{1}

Schritte zur Lösung

(x tan (x)) d x - (y cos (x)) d y = 0

Solve separable ODE:

y = 2 x sec (x) - 2 ln (tan (x) + sec (x)) + c_{1}, y = - 2 x sec (x) - 2 ln (tan (x) + sec (x)) + c_{1}

y = 2 x sec (x) - 2 ln (tan (x) + sec (x)) + c_{1}, y = - 2 x sec (x) - 2 ln (tan (x) + sec (x)) + c_{1}

x^{^{'}} - a \cdot x = 0

\frac{d y}{d x} y^{2} - x^{3} = 1

y^{^{'}} = 7 sin (7 x) y

\frac{y ^{^{'}} - ( y )}{( x + y ^{2} )} = 0

(x^{4} + 5 x^{4} y^{2}) d x + e^{x^{5}} y d y = 0