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شائع >

(dx)/(dt)=0.04x+5000

الحلّ

\frac{d x}{d t} = 0.04 x + 5000

الحلّ

x = 25 e^{\frac{t + c _{1}}{25}} - 125000

خطوات الحلّ

\frac{d x}{d t} = 0.04 x + 5000

Solve separable ODE:

x = 25 e^{\frac{t + c _{1}}{25}} - 125000

x = 25 e^{\frac{t + c _{1}}{25}} - 125000

أمثلة شائعة

derivative of (y-3^2)=4(x-5)

\frac{d}{d x} ((y - 3)^{2}) = 4 (x - 5)

y^{^{'}} = y t^{2} - 1.1 y

sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{3 y + x}, x > 0

y^'=2sqrt(y),y(0)=0

y^{^{'}} = 2 y, y (0) = 0

(2x^2y+y^3)dx+(xy^2+2x^3)dy=0

(2 x^{2} y + y^{3}) d x + (x y^{2} + 2 x^{3}) d y = 0