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Beliebt >

x^2y^{''}-3xy^'+4y=x,y(1)=0,y^'(1)=0

Lösung

x^{2} y^{^{''}} - 3 x y^{^{'}} + 4 y = x, y (1) = 0, y^{^{'}} (1) = 0

Lösung

y = - x^{2} + x^{2} ln (x) + x

Schritte zur Lösung

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

Solve linear ODE:

y = - x^{2} + x^{2} ln (x) + x

y = - x^{2} + x^{2} ln (x) + x

Beliebte Beispiele

(dy)/(dx)= x/(sqrt(x^2+64))

\frac{d y}{d x} = \frac{x}{x ^{2} + 64}

sum from n=1 to infinity of n!(2x-1)^n

n = 1 \sum \infty n! (2 x - 1)^{n}

\frac{d x}{d t} = - 8

integral of (x^4+5x^3-3)/x

\int \frac{x ^{4} + 5 x ^{3} - 3}{x} d x

integral of (6xy+4x)

\int (6 x y + 4 x) d y