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Popular >

y^'=x^2-y

Solution

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

Solution

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

Solution steps

y^{'} (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

36y^{''}-y=xe^{x/6},y(0)=1,y^'(0)=0

36 y^{^{''}} - y = x e^{\frac{x}{6}}, y (0) = 1, y^{^{'}} (0) = 0

f^{^{'}} (x) = 1

integral of 64x

\int 64 x d x

tangent of 2x^3+8x^2-5x+9 tangent of

2 x^{3} + 8 x^{2} - 5 x + 9

area 8-2x,x^3-7x^2+12x,[1,4]area

8 - 2 x, x^{3} - 7 x^{2} + 12 x, [1, 4]

Frequently Asked Questions (FAQ)

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