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Popular >

(dy)/(dx)y=(x^3-x^2)^4

Solution

\frac{d y}{d x} y = (x^{3} - x^{2})^{4}

Solution

y = \frac{c _{1} + 990 x ^{13} - 4290 x ^{12} + 7020 x ^{11} - 5148 x ^{10} + 1430 x ^{9}}{3 715}, y = - \frac{c _{1} + 990 x ^{13} - 4290 x ^{12} + 7020 x ^{11} - 5148 x ^{10} + 1430 x ^{9}}{3 715}

Solution steps

\frac{d y}{d x} y = (x^{3} - x^{2})^{4}

Solve separable ODE:

y = \frac{c _{1} + 990 x ^{13} - 4290 x ^{12} + 7020 x ^{11} - 5148 x ^{10} + 1430 x ^{9}}{3 715}, y = - \frac{c _{1} + 990 x ^{13} - 4290 x ^{12} + 7020 x ^{11} - 5148 x ^{10} + 1430 x ^{9}}{3 715}

y = \frac{c _{1} + 990 x ^{13} - 4290 x ^{12} + 7020 x ^{11} - 5148 x ^{10} + 1430 x ^{9}}{3 715}, y = - \frac{c _{1} + 990 x ^{13} - 4290 x ^{12} + 7020 x ^{11} - 5148 x ^{10} + 1430 x ^{9}}{3 715}

Popular Examples

y^'=(5y)/(2000+5t)

y^{^{'}} = \frac{5 y}{2000 + 5 t}

(dy)/(dx)=5x^2y-9xy

\frac{d y}{d x} = 5 x^{2} y - 9 x y

x y^{^{'}} + y - 6 = 0

y^'=(x^2-5)/(y^2),y(0)=3

y^{^{'}} = \frac{x ^{2} - 5}{y ^{2}}, y (0) = 3

x^'=(x)^{22}(ln(t)+(10)+te^t)

x^{^{'}} = (x)^{22} (ln (t) + (10) + t e^{t})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)y=(x^3-x^2)^4 ?
The solution for (dy)/(dx)y=(x^3-x^2)^4 is