(dy)/(dx)=2y+34x+52

Lösung

\frac{d y}{d x} = 2 y + 34 x + 52

y = - 17 x - \frac{69}{2} + c_{1} e^{2 x}

Schritte zur Lösung

\frac{d y}{d x} = 2 y + 34 x + 52

Solve linear ODE:

y = - 17 x - \frac{69}{2} + c_{1} e^{2 x}

y = - 17 x - \frac{69}{2} + c_{1} e^{2 x}

x \to 0 + lim (lo g_{\frac{1}{e}} (x))

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

\int_{1}^{3} x^{2} e^{x^{3} - 1} d x

\int 2 x sin (x^{2}) + \frac{1}{x ^{2}} sin (\frac{1}{x}) d x

t an g e n t y = \frac{7}{sin ( x ) + cos ( x )}, (0, 7)