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Beliebt Rechnen >

y^{''}+16y=7x,y(0)=1,y^'(0)=4

Lösung

y^{^{''}} + 16 y = 7 x, y (0) = 1, y^{^{'}} (0) = 4

Lösung

y = cos (4 x) + \frac{57}{64} sin (4 x) + \frac{7 x}{16}

Schritte zur Lösung

y^{''} (x) + 16 y = 7 x

Solve linear ODE:

y = cos (4 x) + \frac{57}{64} sin (4 x) + \frac{7 x}{16}

y = cos (4 x) + \frac{57}{64} sin (4 x) + \frac{7 x}{16}

Graph

Beliebte Beispiele

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

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

linear y^{''}-2y^'+5y=6e^t,y(0)=0

l in e a r y^{^{''}} - 2 y^{^{'}} + 5 y = 6 e^{t}, y (0) = 0

y^{''}+3y^'+2y=10u,y(0)=0,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 2 y = 10 u, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'-2=0

y^{^{''}} - 2 y^{^{'}} - 2 = 0

(d^2y)/(dx^2)-y-6=1

\frac{d ^{2} y}{d x ^{2}} - y - 6 = 1