7x^2y^{''}+15xy^'+y=48x+7

Lösung

7 x^{2} y^{^{''}} + 15 x y^{^{'}} + y = 48 x + 7

y = \frac{c _{1}}{7 x} + \frac{c _{2}}{x} + 3 x + 7

Schritte zur Lösung

7 x^{2} y^{''} (x) + 15 x y^{'} (x) + y = 48 x + 7

Solve linear ODE:

y = \frac{c _{1}}{7 x} + \frac{c _{2}}{x} + 3 x + 7

y = \frac{c _{1}}{7 x} + \frac{c _{2}}{x} + 3 x + 7

d er i v a t i v e \frac{3}{4} x^{\frac{4}{3}} - \frac{3}{8} x^{\frac{2}{3}} + 6

\int sin (2 x) - 4 e^{3 x} d x

n = 2 \sum \infty \frac{1}{n ^{2} + 4 n}

x \to 1 lim ((x^{2} - 1)^{x^{2}})

y^{^{'}} = \frac{x y}{2}