y^'= 1/2+1/4 sin(t)-y/(50)

Lösung

y^{^{'}} = \frac{1}{2} + \frac{1}{4} sin (t) - \frac{y}{50}

y = 25 + \frac{25 ( sin ( t ) - 50 cos ( t ) )}{5002} + \frac{c _{1}}{e ^{\frac{t}{50}}}

Schritte zur Lösung

y^{'} (t) = \frac{1}{2} + \frac{1}{4} sin (t) - \frac{y}{50}

Solve linear ODE:

y = 25 + \frac{25 ( sin ( t ) - 50 cos ( t ) )}{5002} + \frac{c _{1}}{e ^{\frac{t}{50}}}

y = 25 + \frac{25 ( sin ( t ) - 50 cos ( t ) )}{5002} + \frac{c _{1}}{e ^{\frac{t}{50}}}

\int \frac{a}{b ^{3 θ}} d θ

x \to 0 lim (\frac{sin ( x ^{0} )}{x})

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x \to 3 lim (\frac{( x ^{3} - 5 x + 6 ) ^{40}}{( x ^{4} - 10 x ^{2} + 9 ) ^{20}})

x \to 0 lim (3 x - a)