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Popular >

y^'=3x-y

Solution

y^{^{'}} = 3 x - y

Solution

y = 3 (x - 1) + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) = 3 x - y

Solve linear ODE:

y = 3 (x - 1) + \frac{c _{1}}{e ^{x}}

y = 3 (x - 1) + \frac{c _{1}}{e ^{x}}

Popular Examples

y^'=(x^2y^4-x^2)/(y^3)

y^{^{'}} = \frac{x ^{2} y ^{4} - x ^{2}}{y ^{3}}

limit as x approaches 0 of (x-1)/(x^2-x)

x \to 0 lim (\frac{x - 1}{x ^{2} - x})

inverse oflaplace ((35+16))/(s^2-s-6)inverse laplace

\frac{( 35 + 16 )}{s ^{2} - s - 6}

integral of 5/(x^2+9)

\int \frac{5}{x ^{2} + 9} d x

integral of x/(sin(x^2))

\int \frac{x}{sin ( x ^{2} )} d x

Frequently Asked Questions (FAQ)

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