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Beliebt Rechnen >

ty^'+2y=sin(t),y(pi/2)=1

Lösung

t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 1

Lösung

y = - \frac{cos ( t )}{t} + \frac{sin ( t )}{t ^{2}} + \frac{π ^{2} - 4}{4 t ^{2}}

Schritte zur Lösung

t y^{'} (t) + 2 y = sin (t)

Solve linear ODE:

y = - \frac{cos ( t )}{t} + \frac{sin ( t )}{t ^{2}} + \frac{π ^{2} - 4}{4 t ^{2}}

y = - \frac{cos ( t )}{t} + \frac{sin ( t )}{t ^{2}} + \frac{π ^{2} - 4}{4 t ^{2}}

Graph

Beliebte Beispiele

f(x)= 1/(x^{2/3)}

f (x) = \frac{1}{x ^{\frac{2}{3}}}

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

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

limit as x approaches 7 of sin(pi/x)

x \to 7 lim (sin (\frac{π}{x}))

(\partial)/(\partial y)(y/(x-1))

\frac{\partial}{\partial y} (\frac{y}{x - 1})

tangent y=e^{x^3},(1,e)

t an g e n t y = e^{x^{3}}, (1, e)