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Beliebt Rechnen >

(dy)/(dx)=(4sec(y))/((x+3)^2)

Lösung

\frac{d y}{d x} = \frac{4 sec ( y )}{( x + 3 ) ^{2}}

Lösung

y = arcsin (- \frac{4}{x + 3} + c_{1}) + 2 πn, y = π + arcsin (\frac{4}{x + 3} - c_{1}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = \frac{4 sec ( y )}{( x + 3 ) ^{2}}

Solve separable ODE:

y = arcsin (- \frac{4}{x + 3} + c_{1}) + 2 πn, y = π + arcsin (\frac{4}{x + 3} - c_{1}) + 2 πn

y = arcsin (- \frac{4}{x + 3} + c_{1}) + 2 πn, y = π + arcsin (\frac{4}{x + 3} - c_{1}) + 2 πn

Graph

Beliebte Beispiele

integral of 1/(sqrt(4x^2+9))

\int \frac{1}{4 x ^{2} + 9} d x

integral of 1/(sqrt(9x^2-1))

\int \frac{1}{9 x ^{2} - 1} d x

(x+y)dx=(y-x)dy

(x + y) d x = (y - x) d y

integral of (21)/((1-x^2)^{3/2)}

\int \frac{21}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

steigung (-10-6)(-10-5)

s l o p e (- 10 - 6) (- 10 - 5)