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Beliebt Rechnen >

y^'=2y+3,y(0)=5

Lösung

y^{^{'}} = 2 y + 3, y (0) = 5

Lösung

y = \frac{13 e ^{2 t}}{2} - \frac{3}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{13 e ^{2 t}}{2} - \frac{3}{2}

y = \frac{13 e ^{2 t}}{2} - \frac{3}{2}

Graph

Beliebte Beispiele

((dy}{dx})=\frac{2y)/x

(\frac{d y}{d x}) = \frac{2 y}{x}

(dy}{dt}=\frac{sin^2(t)+t)/y

\frac{d y}{d t} = \frac{sin ^{2} ( t ) + t}{y}

2 (x - 1) y^{^{'}} - 3 y = 0

y^'(x)=(x^2)/(1-y^2),y(2)=3

y^{^{'}} (x) = \frac{x ^{2}}{1 - y ^{2}}, y (2) = 3

(xy^2+4y^2)dy-5xdx=0

(x y^{2} + 4 y^{2}) d y - 5 x d x = 0