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Beliebt Rechnen >

(t^2+1)y^'=sin(t^2+3cos(t))y

Lösung

(t^{2} + 1) y^{^{'}} = sin (t^{2} + 3 cos (t)) y

Lösung

y = e^{\int \frac{s i n ( t ^{2} + 3 c o s ( t ) )}{t ^{2} + 1} d t}

Schritte zur Lösung

(t^{2} + 1) y^{'} (t) = sin (t^{2} + 3 cos (t)) y

Solve separable ODE:

y = e^{\int \frac{s i n ( t ^{2} + 3 c o s ( t ) )}{t ^{2} + 1} d t}

y = e^{\int \frac{s i n ( t ^{2} + 3 c o s ( t ) )}{t ^{2} + 1} d t}

Beliebte Beispiele

(dy)/(dx)=cos^2(y), pi/2 <y

\frac{d y}{d x} = cos^{2} (y), \frac{π}{2} < y

(dy)/(dx)(sqrt(y/x))y=(sqrt(x)+c^1)^2

\frac{d y}{d x} (\frac{y}{x}) y = (x + c^{1})^{2}

y^{^{'}} + 2 x \cdot y = 0

2y(y^')=6t^2,y(0)=5

2 y (y^{^{'}}) = 6 t^{2}, y (0) = 5

P^'=0.05P(1-P/(400))

P^{^{'}} = 0.05 P (1 - \frac{P}{400})