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Popular Calculus >

y^'=x^22^y

Solution

y^{^{'}} = x^{2} 2^{y}

Solution

y = - \frac{ln ( - \frac{l n ( 2 ) x ^{3}}{3} - c _{1} )}{ln ( 2 )}

Solution steps

y^{'} (x) = x^{2} 2^{y}

Solve separable ODE:

y = - \frac{ln ( - \frac{l n ( 2 ) x ^{3}}{3} - c _{1} )}{ln ( 2 )}

y = - \frac{ln ( - \frac{l n ( 2 ) x ^{3}}{3} - c _{1} )}{ln ( 2 )}

Popular Examples

(3x^2+2)^3y^'-xy^2=0,y(0)=2

(dy)/(dx)y=8xarcsin(x)

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

y^'+2y=2,6e^{-t}y(0)=3

Frequently Asked Questions (FAQ)

What is the solution for y^'=x^22^y ?
The solution for y^'=x^22^y is y=-(ln(-(ln(2)x^3)/3-c_{1}))/(ln(2))