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y^'=7y-8

الحلّ

y^{^{'}} = 7 y - 8

الحلّ

y = \frac{e ^{7 t + c_{1}}}{7} + \frac{8}{7}

خطوات الحلّ

y^{'} (t) = 7 y - 8

Solve separable ODE:

y = \frac{e ^{7 t + c_{1}}}{7} + \frac{8}{7}

y = \frac{e ^{7 t + c_{1}}}{7} + \frac{8}{7}

أمثلة شائعة

5x-5xcos(y)dx+xsin(y)dy=0

5 x - 5 x cos (y) d x + x sin (y) d y = 0

(dy)/(dx)=x^2y-3y+x^2-3

\frac{d y}{d x} = x^{2} y - 3 y + x^{2} - 3

(dy)/(dx)=(-0.8)/(cos(y)),y(0)= pi/3

\frac{d y}{d x} = \frac{- 0.8}{cos ( y )}, y (0) = \frac{π}{3}

(sin(x))/(1+y)(dy)/(dx)=cos(x)

\frac{sin ( x )}{1 + y} \frac{d y}{d x} = cos (x)

y^'=(xy^3)/9 ,y(0)=6

y^{^{'}} = \frac{x y ^{3}}{9}, y (0) = 6