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Popular >

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

Solution

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

Solution

y = x^{2} - 2 (x - 1) + \frac{c _{1}}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = x^{2} - 2 (x - 1) + \frac{c _{1}}{e ^{x}}

y = x^{2} - 2 (x - 1) + \frac{c _{1}}{e ^{x}}

Popular Examples

integral of 1/(x^2sqrt(49-x^2))

\int \frac{1}{x ^{2} 49 - x ^{2}} d x

tangent of f(x)=x^2,\at x=0 tangent of

f (x) = x^{2}, at x = 0

integral of 7sin^2(t)cos^4(t)

\int 7 sin^{2} (t) cos^{4} (t) d t

laplacetransform ((2te^{-3t}))/5+3t*sin(t)laplace transform

\frac{( 2 t e ^{- 3 t} )}{5} + 3 t \cdot sin (t)

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

(13 + x^{2}) y^{^{'}} - 2 x y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x^2-y ?
The solution for (dy)/(dx)=x^2-y is y=x^2-2(x-1)+(c_{1})/(e^x)