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Popular >

f(x)(x+1)=f^'(x)

Solution

f (x) (x + 1) = f^{^{'}} (x)

Solution

f (x) = e^{\frac{x ^{2}}{2} + x - c_{1}}

Solution steps

f (x) (x + 1) = f^{'} (x)

Solve separable ODE:

f (x) = e^{\frac{x ^{2}}{2} + x - c_{1}}

f (x) = e^{\frac{x ^{2}}{2} + x - c_{1}}

Popular Examples

(dy)/(dx)=((xy+5x-y-5))/(xy-2x+6y-12)

\frac{d y}{d x} = \frac{( x y + 5 x - y - 5 )}{x y - 2 x + 6 y - 12}

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

(dy)/(dx)=(7xy)/((ln(y))^{10)}

\frac{d y}{d x} = \frac{7 x y}{( ln ( y ) ) ^{10}}

(dy)/(dx)+y/6 =0

\frac{d y}{d x} + \frac{y}{6} = 0

(dy)/(dx)+5xy=6x

\frac{d y}{d x} + 5 x y = 6 x

Frequently Asked Questions (FAQ)

What is the solution for f(x)(x+1)=f^'(x) ?
The solution for f(x)(x+1)=f^'(x) is f(x)=e^{(x^2)/2+x-c_{1}}