(d^2)/(dx^2)f(x)= 7/(sqrt(x+4)),\at x=0

Lösung

\frac{d ^{2}}{d x ^{2}} f (x) = \frac{7}{x + 4}, at x = 0

f (x) = \frac{28}{3} (x + 4)^{\frac{3}{2}} + c_{1} x + c_{2}

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} = \frac{7}{x + 4}

Löse

f^{''} (x) = \frac{7}{x + 4} : f^{'} (x) = 14 x + 4 + c_{1}

Löse

f^{'} (x) = 14 x + 4 + c_{1} : f (x) = \frac{28}{3} (x + 4)^{\frac{3}{2}} + c_{1} x + c_{2}

f (x) = \frac{28}{3} (x + 4)^{\frac{3}{2}} + c_{1} x + c_{2}

n = 1 \sum \infty \frac{n ^{2}}{n !}

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

t an g e n t f (x) = x sin (π x), at x = 1

t an g e n t f (x) = \frac{3}{x}, at x = \frac{1}{4}

4 x - 3 y + y^{^{'}} (2 y - 3 x) = 0