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Popular >

y^'-4y=7e^{4x}

Solution

y^{^{'}} - 4 y = 7 e^{4 x}

Solution

y = 7 e^{4 x} x + c_{1} e^{4 x}

Solution steps

y^{'} (x) - 4 y = 7 e^{4 x}

Solve linear ODE:

y = 7 e^{4 x} x + c_{1} e^{4 x}

y = 7 e^{4 x} x + c_{1} e^{4 x}

Popular Examples

integral of 1/(x^2+11x+30)

\int \frac{1}{x ^{2} + 11 x + 30} d x

integral of x*e^{-ax}

\int x \cdot e^{- a x} d x

integral of (x^2)/((x^2+4x+5)^2)

\int \frac{x ^{2}}{( x ^{2} + 4 x + 5 ) ^{2}} d x

derivative of 1/(2x+5)

\frac{d}{d x} (\frac{1}{2 x + 5})

integral of (cos^2(x))/(1-sin(x))

\int \frac{cos ^{2} ( x )}{1 - sin ( x )} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'-4y=7e^{4x} ?
The solution for y^'-4y=7e^{4x} is y=7e^{4x}x+c_{1}e^{4x}