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Popular >

(dx)/(dt)=7xt^3

Solution

\frac{d x}{d t} = 7 x t^{3}

Solution

x = e^{\frac{7 t ^{4}}{4} + c_{1}}

Solution steps

\frac{d x}{d t} = 7 x t^{3}

Solve separable ODE:

x = e^{\frac{7 t ^{4}}{4} + c_{1}}

x = e^{\frac{7 t ^{4}}{4} + c_{1}}

Popular Examples

y^{^{'}} = x \cdot e^{y}

(x^3+7x^3y^2)dx+e^{x^4}ydy=0

(x^{3} + 7 x^{3} y^{2}) d x + e^{x^{4}} y d y = 0

(1+x^2)(dy)/(dx)+2xy=-x

(1 + x^{2}) \frac{d y}{d x} + 2 x y = - x

(dy)/(dx)y=log_{2}(xlog_{5}(x))

\frac{d y}{d x} y = lo g_{2} (x lo g_{5} (x))

y^'=t^3(y^2+3y+16)

y^{^{'}} = t^{3} (y^{2} + 3 y + 16)

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=7xt^3 ?
The solution for (dx)/(dt)=7xt^3 is x=e^{(7t^4)/4+c_{1}}