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Beliebt Rechnen >

x(dy)/(dx)+3y=2x^5

Lösung

x \frac{d y}{d x} + 3 y = 2 x^{5}

Lösung

y = \frac{x ^{5}}{4} + \frac{c _{1}}{x ^{3}}

Schritte zur Lösung

x \frac{d y}{d x} + 3 y = 2 x^{5}

Solve linear ODE:

y = \frac{x ^{5}}{4} + \frac{c _{1}}{x ^{3}}

y = \frac{x ^{5}}{4} + \frac{c _{1}}{x ^{3}}

Graph

Beliebte Beispiele

integral of (3x+6)/(x^2+2x+2)

\int \frac{3 x + 6}{x ^{2} + 2 x + 2} d x

integral from 0 to 4 of sqrt(x)+3x

\int_{0}^{4} x + 3 x d x

integral of (x^6-x^3+64)/(x^4+8x^2)

\int \frac{x ^{6} - x ^{3} + 64}{x ^{4} + 8 x ^{2}} d x

derivative of 1-ln(1-x)

\frac{d}{d x} (1 - ln (1 - x))

derivative of 6xy-12

\frac{d}{d x} (6 x y - 12)