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Popular >

(dy)/(dx)+y=x,y(0)=3

Solution

\frac{d y}{d x} + y = x, y (0) = 3

Solution

y = x - 1 + \frac{4}{e ^{x}}

Solution steps

\frac{d y}{d x} + y = x

Solve linear ODE:

y = x - 1 + \frac{4}{e ^{x}}

y = x - 1 + \frac{4}{e ^{x}}

Popular Examples

(\partial)/(\partial x)(1/x-2y)

\frac{\partial}{\partial x} (\frac{1}{x} - 2 y)

derivative of f(x)=sin^2(2x)derivative of

f (x) = sin^{2} (2 x)

integral of csc^2(xco)t^2x

\int csc^{2} (x co) t^{2} x d x

area y=-3x^3+x^2+10x,x=-5/3 ,x=2 area

y = - 3 x^{3} + x^{2} + 10 x, x = - \frac{5}{3}, x = 2

limit as x approaches a of x+sqrt(x-4)

x \to a lim (x + x - 4)

Frequently Asked Questions (FAQ)

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