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Beliebt Rechnen >

(dy)/(dx)= x/(2y^2),y(0)=1

Lösung

\frac{d y}{d x} = \frac{x}{2 y ^{2}}, y (0) = 1

Lösung

y = 3 \frac{3 x ^{2}}{4} + 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{x}{2 y ^{2}}

Solve separable ODE:

y = 3 \frac{3 x ^{2}}{4} + 1

y = 3 \frac{3 x ^{2}}{4} + 1

Graph

Beliebte Beispiele

y^{^{'}} - e^{9 x + y} = 0

integral of 2cos^4(3x)

\int 2 cos^{4} (3 x) d x

y^{''}-4y^'+13y=sin(x)-e^{3x}+5

y^{^{''}} - 4 y^{^{'}} + 13 y = sin (x) - e^{3 x} + 5

tangent (x^3-16x)^8

t an g e n t (x^{3} - 16 x)^{8}

(\partial)/(\partial y)(2x^4y+4)

\frac{\partial}{\partial y} (2 x^{4} y + 4)