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Popular >

f^'(x)=4x^3(f(x))^2

Solution

f^{^{'}} (x) = 4 x^{3} (f (x))^{2}

Solution

f (x) = - \frac{1}{x ^{4} + c _{1}}

Solution steps

f^{'} (x) = 4 x^{3} (f (x))^{2}

Solve separable ODE:

f (x) = - \frac{1}{x ^{4} + c _{1}}

f (x) = - \frac{1}{x ^{4} + c _{1}}

Popular Examples

(dy)/(dx)=xe^{y-x}

\frac{d y}{d x} = x e^{y - x}

(dy)/(dx)=10xsqrt(36-y^2),y>-6,y<6

\frac{d y}{d x} = 10 x 36 - y^{2}, y > - 6, y < 6

y^'=-0.7y,y(0)=80

y^{^{'}} = - 0.7 y, y (0) = 80

(dv)/(dt)=50-(9v)/(100)

\frac{d v}{d t} = 50 - \frac{9 v}{100}

(dy)/(dx)=(5y+8)^{2/3}

\frac{d y}{d x} = (5 y + 8)^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is the solution for f^'(x)=4x^3(f(x))^2 ?
The solution for f^'(x)=4x^3(f(x))^2 is f(x)=-1/(x^4+c_{1)}