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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} + x + \frac{3}{2}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} + x + \frac{3}{2}

y = c_{1} e^{2 x} + c_{2} e^{x} + x + \frac{3}{2}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+y=sec(x)tan(x)

\frac{d ^{2} y}{d x ^{2}} + y = sec (x) tan (x)

y^{''}+y+y=((e^t))/t

y^{^{''}} + y + y = \frac{( e ^{t} )}{t}

y^{''}-4y^'+3y=13cos(2x)

y^{^{''}} - 4 y^{^{'}} + 3 y = 13 cos (2 x)

y^{'''}-6y^{''}+12y^'-8y=te^3+1

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = t e^{3} + 1

y^{''}+y^'-2y=2(3x+1)e^x+20cos(2x)

y^{^{''}} + y^{^{'}} - 2 y = 2 (3 x + 1) e^{x} + 20 cos (2 x)