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Beliebt Rechnen >

(dy)/(dx)=cos(x)(1+3y)

Lösung

\frac{d y}{d x} = cos (x) (1 + 3 y)

Lösung

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} - \frac{1}{3}

Schritte zur Lösung

\frac{d y}{d x} = cos (x) (1 + 3 y)

Solve separable ODE:

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} - \frac{1}{3}

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} - \frac{1}{3}

Graph

Beliebte Beispiele

integral from 2 to 4 of x/6 (2x-3)

\int_{2}^{4} \frac{x}{6} (2 x - 3) d x

(\partial)/(\partial z)(x^y)

\frac{\partial}{\partial z} (x^{y})

(x^2+1)(dy)/(dx)+3x(y-1)=0

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0

integral from 1 to 10 of 1/(4x^3)

\int_{1}^{10} \frac{1}{4 x ^{3}} d x

derivative of 10x+1

\frac{d}{d x} (10 x + 1)