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Popular Calculus >

(dy)/(dx)=5-y

Solution

\frac{d y}{d x} = 5 - y

Solution

y = - e^{- x - c_{1}} + 5

Solution steps

\frac{d y}{d x} = 5 - y

Solve separable ODE:

y = - e^{- x - c_{1}} + 5

y = - e^{- x - c_{1}} + 5

Graph

Popular Examples

integral of e^{3x}cos(2x)

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

derivative of 5x^2cos(x)+4x

d er i v a t i v e 5 x^{2} cos (x) + 4 x

y^{''}-2y^'-8y=0,y^'(0)=4,y(0)=-2

y^{^{''}} - 2 y^{^{'}} - 8 y = 0, y^{^{'}} (0) = 4, y (0) = - 2

integral of sin(pi)x

\int sin (π) x d x

tangent of f(x)=x^2+2,(1,3)

t an g e n t f (x) = x^{2} + 2, (1, 3)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5-y ?
The solution for (dy)/(dx)=5-y is y=-e^{-x-c_{1}}+5