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Popular >

((3+x)dy)/(dx)=8y

Solution

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

Solution

y = 6561 e^{c_{1}} + 17496 e^{c_{1}} x + 20412 e^{c_{1}} x^{2} + 13608 e^{c_{1}} x^{3} + 5670 e^{c_{1}} x^{4} + 1512 e^{c_{1}} x^{5} + 252 e^{c_{1}} x^{6} + 24 e^{c_{1}} x^{7} + e^{c_{1}} x^{8}

Solution steps

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

Solve separable ODE:

y = 6561 e^{c_{1}} + 17496 e^{c_{1}} x + 20412 e^{c_{1}} x^{2} + 13608 e^{c_{1}} x^{3} + 5670 e^{c_{1}} x^{4} + 1512 e^{c_{1}} x^{5} + 252 e^{c_{1}} x^{6} + 24 e^{c_{1}} x^{7} + e^{c_{1}} x^{8}

y = 6561 e^{c_{1}} + 17496 e^{c_{1}} x + 20412 e^{c_{1}} x^{2} + 13608 e^{c_{1}} x^{3} + 5670 e^{c_{1}} x^{4} + 1512 e^{c_{1}} x^{5} + 252 e^{c_{1}} x^{6} + 24 e^{c_{1}} x^{7} + e^{c_{1}} x^{8}

Graph

Popular Examples

y^'=5x+xy,y(0)=7

y^{^{'}} = 5 x + x y, y (0) = 7

y^'=((y+13))/(5x+6)

y^{^{'}} = \frac{( y + 13 )}{5 x + 6}

y^{^{'}} + 9 x ey = 0

(dy)/(dx)=6x^6y-y

\frac{d y}{d x} = 6 x^{6} y - y

(((x+1)^2+6)/(4(x+1)))(dy)/(dx)=tan(y)

(\frac{( x + 1 ) ^{2} + 6}{4 ( x + 1 )}) \frac{d y}{d x} = tan (y)

Frequently Asked Questions (FAQ)

What is the solution for ((3+x)dy)/(dx)=8y ?
The solution for ((3+x)dy)/(dx)=8y is