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Beliebt Rechnen >

y^{''}+y=4x+10sin(x),y(pi)=0,y^'(pi)=2

Lösung

y^{^{''}} + y = 4 x + 10 sin (x), y (π) = 0, y^{^{'}} (π) = 2

Lösung

y = 9 π cos (x) + 7 sin (x) + 4 x - 5 x cos (x)

Schritte zur Lösung

y^{''} (x) + y = 4 x + 10 sin (x)

Solve linear ODE:

y = 9 π cos (x) + 7 sin (x) + 4 x - 5 x cos (x)

y = 9 π cos (x) + 7 sin (x) + 4 x - 5 x cos (x)

Graph

Beliebte Beispiele

9y^{''}-6y^'+y=cos(t)

9 y^{^{''}} - 6 y^{^{'}} + y = cos (t)

y^{''}-y=c^x+2c^{2x}

y^{^{''}} - y = c^{x} + 2 c^{2 x}

y^{''}-4y^'+4y=xe^{2x}+x^3e^{2x}

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

y^{''}-11y^'+10y=2x^2-44x+4

y^{^{''}} - 11 y^{^{'}} + 10 y = 2 x^{2} - 44 x + 4

y^{''}+9y=11sec^2(3t)

y^{^{''}} + 9 y = 11 sec^{2} (3 t)