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Beliebt Rechnen >

(y^2+6)dx=ysec^2(x)dy

Lösung

(y^{2} + 6) d x = y sec^{2} (x) d y

Lösung

y = e^{x + \frac{1}{2} s i n (2 x) - c_{1}} - 6, y = - e^{x + \frac{1}{2} s i n (2 x) - c_{1}} - 6

Schritte zur Lösung

(y^{2} + 6) d x = y sec^{2} (x) d y

Solve separable ODE:

y = e^{x + \frac{1}{2} s i n (2 x) - c_{1}} - 6, y = - e^{x + \frac{1}{2} s i n (2 x) - c_{1}} - 6

y = e^{x + \frac{1}{2} s i n (2 x) - c_{1}} - 6, y = - e^{x + \frac{1}{2} s i n (2 x) - c_{1}} - 6

Graph

Beliebte Beispiele

(dy)/(dx)=(4x)/(y-1),y(2)=3

\frac{d y}{d x} = \frac{4 x}{y - 1}, y (2) = 3

4y^'-4y-72=3y^'

4 y^{^{'}} - 4 y - 72 = 3 y^{^{'}}

y^'=((2x*y^2+x))/((x^2*y+y))

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

(1-y^2)^{0.5}dx=(1+x^2)ydy

(1 - y^{2})^{0.5} d x = (1 + x^{2}) y d y

(2dq)/(dt)+6q=2

\frac{2 d q}{d t} + 6 q = 2