What is the solution for (dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1 ?

The solution for (dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1 is y=(2(1+x^4)^{3/4}}{e^{\frac{3ln(2))/4}}

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(dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1

\frac{d y}{d x} (1 + x^{4}) - 3 x^{3} y = 0, y = 2, x = 1

y = \frac{2 ( 1 + x ^{4} ) ^{\frac{3}{4}}}{e ^{\frac{3 l n ( 2 )}{4}}}

Solution steps

\frac{d y}{d x} (1 + x^{4}) - 3 x^{3} y = 0

Solve separable ODE:

y = \frac{2 ( 1 + x ^{4} ) ^{\frac{3}{4}}}{e ^{\frac{3 l n ( 2 )}{4}}}

y = \frac{2 ( 1 + x ^{4} ) ^{\frac{3}{4}}}{e ^{\frac{3 l n ( 2 )}{4}}}

v \frac{d v}{d x} = - 0.05 v - 9.8

\frac{d y}{d t} = \frac{7 t ^{2}}{9 y}

(2 x y^{2} + 2 x y) d x + (x^{2} y + x^{2}) d y = 0

y^{^{'}} - x^{3} y^{2} = 4 x^{3}, y (0) = 2

\frac{d y}{d t} + 4 y = 7, y (0) = 1

What is the solution for (dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1 ?
The solution for (dy)/(dx)(1+x^4)-3x^3y=0,y=2,x=1 is y=(2(1+x^4)^{3/4}}{e^{\frac{3ln(2))/4}}