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Popular >

f^'(x)=-10f(x)

Solution

f^{^{'}} (x) = - 10 f (x)

Solution

f (x) = e^{- 10 x + c_{1}}

Solution steps

f^{'} (x) = - 10 f (x)

Solve separable ODE:

f (x) = e^{- 10 x + c_{1}}

f (x) = e^{- 10 x + c_{1}}

Graph

Popular Examples

derivative of (f(x)f(x))=cos(2x)

\frac{d}{d x} ((f (x)) f (x)) = cos (2 x)

(xdx)/((1+x))=(dy)/(y^3)

\frac{x d x}{( 1 + x )} = \frac{d y}{y ^{3}}

y^'-2yy^'+e^x=0

y^{^{'}} - 2 y y^{^{'}} + e^{x} = 0

xe^{(x^2)}+yy^'=0

x e^{(x^{2})} + y y^{^{'}} = 0

y^'=e^{-5y}(2sqrt(7x)-4),y(0)=1

y^{^{'}} = e^{- 5 y} (2 7 x - 4), y (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=-10f(x) ?
The solution for f^'(x)=-10f(x) is f(x)=e^{-10x+c_{1}}